List of superparticular intervals

This is a list of superparticular intervals ordered by prime limit. It reaches to the 127-limit and is complete up to the 31-limit.

Størmer's theorem states that, in each limit, there are only a finite number of superparticular ratios. Many of the sections below are complete. For example, there is no 3-limit superparticular ratio other than 2/1, 3/2, 4/3, and 9/8. OEIS: A002071 gives the number of superparticular ratios in each prime limit, OEIS: A145604 shows the increment from limit to limit, and OEIS: A117581 gives the largest numerator for each prime limit (with some exceptions, such as the 23-limit, where the largest value is smaller than that of a smaller prime limit, in this case the 19-limit).

List of superparticular intervals

2-limit

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
2/1	1200.000	2/1	[1⟩	Octave, duple, 2nd harmonic, diapason

3-limit

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
3/2	701.955	3/2	[-1 1⟩	Perfect fifth, octave-reduced 3rd harmonic, diapente
4/3	498.045	22/3	[2 -1⟩	Perfect fourth, octave-reduced 3rd subharmonic, diatessaron	S2
9/8	203.910	32/23	[-3 2⟩	Pythagorean whole tone, Pythagorean major second, major whole tone, octave-reduced 9th harmonic, harmonic ninth	S3

5-limit

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
5/4	386.314	5/22	[-2 0 1⟩	Classic(al)/just major third, octave-reduced 5th harmonic
6/5	315.641	(2×3)/5	[1 1 -1⟩	Classic(al)/just minor third
10/9	182.404	(2×5)/32	[1 -2 1⟩	Classic(al) (whole) tone, classic major second, minor whole tone
16/15	111.731	24/(3×5)	[4 -1 -1⟩	Classic(al)/just diatonic semitone, 15th subharmonic	S4
25/24	70.672	52/(23×3)	[-3 -1 2⟩	Classic(al)/just chromatic semitone, chroma, Zarlinian semitone	S5
81/80	21.506	(3/2)4/5	[-4 4 -1⟩	Syntonic comma, Didymus comma	S9

7-limit

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
7/6	266.871	7/(2×3)	[-1 -1 0 1⟩	(Septimal) subminor third, septimal minor third
8/7	231.174	23/7	[3 0 0 -1⟩	(Septimal) supermajor second, septimal whole tone, octave-reduced 7th subharmonic
15/14	119.443	(3×5)/(2×7)	[-1 1 1 -1⟩	Septimal major semitone, septimal diatonic semitone
21/20	84.467	(3×7)/(22×5)	[-2 1 -1 1⟩	Septimal minor semitone, large septimal chroma
28/27	62.961	(22×7)/33	[2 -3 0 1⟩	Septimal 1/3-tone, small septimal chroma, (septimal) subminor second, septimal minor second, trienstonic comma
36/35	48.770	(2×3)2/(5×7)	[2 2 -1 -1⟩	Septimal 1/4-tone, mint comma	S6
49/48	35.697	72/(24×3)	[-4 -1 0 2⟩	Slendro diesis, large septimal diesis, large septimal 1/6-tone	S7
50/49	34.976	2×(5/7)2	[1 0 2 -2⟩	Jubilisma, tritonic diesis, small septimal diesis, small septimal 1/6-tone
64/63	27.264	26/(32×7)	[6 -2 0 -1⟩	Septimal comma, Archytas' comma	S8
126/125	13.795	(2×32×7)/53	[1 2 -3 1⟩	Starling comma, septimal semicomma
225/224	7.7115	(3×5)2/(25×7)	[-5 2 2 -1⟩	Marvel comma, septimal kleisma	S15
2401/2400	0.72120	74/(25×3×52)	[-5 -1 -2 4⟩	Breedsma	S49
4375/4374	0.39576	(54×7)/(2×37)	[-1 -7 4 1⟩	Ragisma

11-limit

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
11/10	165.004	11/(2×5)	[-1 0 -1 0 1⟩	Large undecimal neutral second, undecimal submajor second, Ptolemy's second
12/11	150.637	(22×3)/11	[2 1 0 0 -1⟩	Small undecimal neutral second
22/21	80.537	(2×11)/(3×7)	[1 -1 0 -1 1⟩	Undecimal minor semitone
33/32	53.273	(3×11)/25	[-5 1 0 0 1⟩	Undecimal 1/4-tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic
45/44	38.906	(3/2)2×(5/11)	[-2 2 1 0 -1⟩	Undecimal 1/5-tone, cake comma
55/54	31.767	(5×11)/(2×33)	[-1 -3 1 0 1⟩	Telepathma, eleventyfive comma, undecimal diasecundal comma
56/55	31.194	(23×7)/(5×11)	[3 0 -1 1 -1⟩	Undecimal tritonic comma, konbini comma
99/98	17.576	(3/7)2×(11/2)	[-1 2 0 -2 1⟩	Mothwellsma, small undecimal comma
100/99	17.399	((2×5)/3)2/11	[2 -2 2 0 -1⟩	Ptolemisma, Ptolemy's comma	S10
121/120	14.376	112/(23×3×5)	[-3 -1 -1 0 2⟩	Biyatisma, undecimal seconds comma	S11
176/175	9.8646	(24×11)/(52×7)	[4 0 -2 -1 1⟩	Valinorsma
243/242	7.1391	35/(2×112)	[-1 5 0 0 -2⟩	Rastma, neutral thirds comma
385/384	4.5026	(5×7×11)/(27×3)	[-7 -1 1 1 1⟩	Keenanisma
441/440	3.9302	(3×7)2/(23×5×11)	[-3 2 -1 2 -1⟩	Werckisma, Werckmeister's undecimal septenarian schisma	S21
540/539	3.2090	(2/7)2×((33×5)/11)	[2 3 1 -2 -1⟩	Swetisma, Swets' comma
3025/3024	0.57240	(5×11)2/(24×33×7)	[-4 -3 2 -1 2⟩	Lehmerisma	S55
9801/9800	0.17665	((32×11)/(5×7))2/23	[-3 4 -2 -2 2⟩	Kalisma, Gauss comma	S99

13-limit

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
13/12	138.573	13/(22×3)	[-2 -1 0 0 0 1⟩	Large tridecimal 2/3-tone, tridecimal neutral second
14/13	128.298	(2×7)/13	[1 0 0 1 0 -1⟩	Small tridecimal 2/3-tone, trienthird
26/25	67.900	(2×13)/52	[1 0 -2 0 0 1⟩	Large tridecimal 1/3-tone
27/26	65.337	33/(2×13)	[-1 3 0 0 0 -1⟩	Small tridecimal 1/3-tone
40/39	43.831	(23×5)/(3×13)	[3 -1 1 0 0 -1⟩	Tridecimal minor diesis
65/64	26.841	(5×13)/26	[-6 0 1 0 0 1⟩	Wilsorma, 13th-partial chroma
66/65	26.432	(2×3×11)/(5×13)	[1 1 -1 0 1 -1⟩	Winmeanma
78/77	22.339	(2×3×13)/(7×11)	[1 1 0 -1 -1 1⟩	Negustma
91/90	19.130	(7×13)/(2×32×5)	[-1 -2 -1 1 0 1⟩	Biome comma, superleap comma
105/104	16.567	(3×5×7)/(23×13)	[-3 1 1 1 0 -1⟩	Animist comma, small tridecimal comma
144/143	12.064	(22×3)2/(11×13)	[4 2 0 0 -1 -1⟩	Grossma	S12
169/168	10.274	132/(23×3×7)	[-3 -1 0 -1 0 2⟩	Buzurgisma, dhanvantarisma	S13
196/195	8.8554	(2×7)2/(3×5×13)	[2 -1 -1 2 0 -1⟩	Mynucuma	S14
325/324	5.3351	(5/(2×32))2×13	[-2 -4 2 0 0 1⟩	Marveltwin comma
351/350	4.9393	(33×13)/(2×52×7)	[-1 3 -2 -1 0 1⟩	Ratwolfsma
352/351	4.9253	(25×11)/(33×13)	[5 -3 0 0 1 -1⟩	Major minthma, major gentle comma
364/363	4.7627	(2/11)2×((7×13)/3)	[2 -1 0 1 -2 1⟩	Minor minthma, minor gentle comma
625/624	2.7722	(5/2)4/(3×13)	[-4 -1 4 0 0 -1⟩	Tunbarsma	S25
676/675	2.5629	((2×13)/5)2/33	[2 -3 -2 0 0 2⟩	Island comma	S26
729/728	2.3764	(32/2)3/(7×13)	[-3 6 0 -1 0 -1⟩	Squbema	S27
1001/1000	1.7304	(7×11×13)/(2×5)3	[-3 0 -3 1 1 1⟩	Sinbadma
1716/1715	1.0092	(22×3×11×13)/(5×73)	[2 1 -1 -3 1 1⟩	Lummic comma
2080/2079	0.83252	(25×5×13)/(33×7×11)	[5 -3 1 -1 -1 1⟩	Ibnsinma
4096/4095	0.42272	(26/3)2/(5×7×13)	[12 -2 -1 -1 0 -1⟩	Schismina, tridecimal schisma	S64
4225/4224	0.40981	(5×13)2/(27×3×11)	[-7 -1 2 0 -1 2⟩	Leprechaun comma	S65
6656/6655	0.26012	(23/11)3×(13/5)	[9 0 -1 0 -3 1⟩	Jacobin comma
10648/10647	0.16260	(2×11)3/((3×13)2×7)	[3 -2 0 -1 3 -2⟩	Harmonisma
123201/123200	0.014052	(3/2)6×(13/5)2/(7×11)	[-6 6 -2 -1 -1 2⟩	Chalmersia	S351

17-limit

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
17/16	104.955	17/24	[-4 0 0 0 0 0 1⟩	Large septendecimal semitone, octave-reduced 17th harmonic
18/17	98.955	(2×32)/17	[1 2 0 0 0 0 -1⟩	Small septendecimal semitone, Arabic lute index finger
34/33	51.682	(2×17)/(3×11)	[1 -1 0 0 -1 0 1⟩	Large septendecimal 1/4-tone
35/34	50.184	(5×7)/(2×17)	[-1 0 1 1 0 0 -1⟩	Small septendecimal 1/4-tone
51/50	34.283	(3×17)/(2×52)	[-1 1 -2 0 0 0 1⟩	Large septendecimal 1/6-tone
52/51	33.617	(22×13)/(3×17)	[2 -1 0 0 0 1 -1⟩	Small septendecimal 1/6-tone
85/84	20.488	(5×17)/(22×3×7)	[-2 -1 1 -1 0 0 1⟩	Monk comma
120/119	14.487	(23×3×5)/(7×17)	[3 1 1 -1 0 0 -1⟩	Lynchisma
136/135	12.777	(2/3)3×(17/5)	[3 -3 -1 0 0 0 1⟩	Diatisma, septendecimal major second comma
154/153	11.278	(2×7×11)/(32×17)	[1 -2 0 1 1 0 -1⟩	Augustma
170/169	10.214	(2×5×17)/132	[1 0 1 0 0 -2 1⟩	Major naiadma
221/220	7.8514	(13×17)/(22×5×11)	[-2 0 -1 0 -1 1 1⟩	Minor naiadma
256/255	6.7759	28/(3×5×17)	[8 -1 -1 0 0 0 -1⟩	Char comma, charisma, septendecimal kleisma	S16
273/272	6.3532	(3×7×13)/(24×17)	[-4 1 0 1 0 1 -1⟩	Tannisma, prototannisma
289/288	6.0008	(17/3)2/25	[-5 -2 0 0 0 0 2⟩	Semitonisma	S17
375/374	4.6228	(3×53)/(2×11×17)	[-1 1 3 0 -1 0 -1⟩	Ursulisma
442/441	3.9213	(2×13×17)/(3×7)2	[1 -2 0 -2 0 1 1⟩	Seminaiadma
561/560	3.0887	(3×11×17)/(24×5×7)	[-4 1 -1 -1 1 0 1⟩	Monardisma, tsaharuk comma
595/594	2.9121	(5×7×17)/(2×33×11)	[-1 -3 1 1 -1 0 1⟩	Dakotisma
715/714	2.4230	(5×11×13)/(2×3×7×17)	[-1 -1 1 -1 1 1 -1⟩	September comma, septembrisma
833/832	2.0796	(72×17)/(26×13)	[-6 0 0 2 0 -1 1⟩	Horizma, horizon comma
936/935	1.8506	(23×32×13)/(5×11×17)	[3 2 -1 0 -1 1 -1⟩	Ainisma, ainic comma
1089/1088	1.5905	(3×11)2/(26×17)	[-6 2 0 0 2 0 -1⟩	Twosquare comma	S33
1156/1155	1.4983	(2×17)2/(3×5×7×11)	[2 -1 -1 -1 -1 0 2⟩	Quadrantonisma	S34
1225/1224	1.4138	(5×7)2/(23×32×17)	[-3 -2 2 2 0 0 -1⟩	Noellisma	S35
1275/1274	1.3584	(3×52×17)/(2×72×13)	[-1 1 2 -2 0 -1 1⟩	Cimbrisma
1701/1700	1.0181	(35×7)/((2×5)2×17)	[-2 5 -2 1 0 0 -1⟩	Palingenetic comma, palingenesis
2058/2057	0.84143	(2×3×73)/(112×17)	[1 1 0 3 -2 0 -1⟩	Xenisma
2431/2430	0.71230	(11×13×17)/(2×35×5)	[-1 -5 -1 0 1 1 1⟩	Heptacircle comma
2500/2499	0.69263	(2×52)2/(3×72×17)	[2 -1 4 -2 0 0 -1⟩	Sperasma	S50
2601/2600	0.66573	(3×17)2/(23×52×13)	[-3 2 -2 0 0 -1 2⟩	Sextantonisma	S51
4914/4913	0.35234	(2×33×7×13)/173	[1 3 0 1 0 1 -3⟩	Baladisma
5832/5831	0.29688	(2×32)3/(73×17)	[3 6 0 -3 0 0 -1⟩	Chlorisma
12376/12375	0.13989	(23×7×13×17)/(32×53×11)	[3 -2 -3 1 -1 1 1⟩	Flashma
14400/14399	0.12023	(23×3×5)2/(7×112×17)	[6 2 2 -1 -2 0 -1⟩	Sparkisma	S120
28561/28560	0.060616	(13/2)4/(3×5×7×17)	[-4 -1 -1 -1 0 4 -1⟩	Pisanoisma	S169
31213/31212	0.055466	(74×13)/(22×33×172)	[-2 -3 0 4 0 1 -2⟩	E-shaped comma
37180/37179	0.046564	(22×5×11×132)/(37×17)	[2 -7 1 0 1 2 -1⟩	Lateral comma
194481/194480	0.0089018	(3×7)4/(24×5×11×13×17)	[-4 4 -1 4 -1 -1 -1⟩	Scintillisma	S441
336141/336140	0.0051503	(32×133×17)/(22×5×75)	[-2 2 -1 -5 0 3 1⟩	Aksial comma

19-limit

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
19/18	93.603	19/(2×32)	[-1 -2 0 0 0 0 0 1⟩	Large undevicesimal semitone
20/19	88.801	(22×5)/19	[2 0 1 0 0 0 0 -1⟩	Small undevicesimal semitone
39/38	44.970	(3×13)/(2×19)	[-1 1 0 0 0 1 0 -1⟩	Undevicesimal diesis, undevicesimal 2/9-tone
57/56	30.642	(3×19)/(23×7)	[-3 1 0 -1 0 0 0 1⟩	Hendrix comma
76/75	22.931	(22×19)/(3×52)	[2 -1 -2 0 0 0 0 1⟩	Large undevicesimal 1/9-tone
77/76	22.631	(7×11)/(22×19)	[-2 0 0 1 1 0 0 -1⟩	Small undevicesimal 1/9-tone
96/95	18.128	(25×3)/(5×19)	[5 1 -1 0 0 0 0 -1⟩	19th-partial chroma
133/132	13.066	(7×19)/(22×3×11)	[-2 -1 0 1 -1 0 0 1⟩	Minithirdma
153/152	11.352	(32×17)/(23×19)	[-3 2 0 0 0 0 1 -1⟩	Ganassisma, Ganassi's comma
171/170	10.154	(32×19)/(2×5×17)	[-1 2 -1 0 0 0 -1 1⟩	Malcolmisma
190/189	9.1358	(2×5×19)/(33×7)	[1 -3 1 -1 0 0 0 1⟩	Cotylisma
209/208	8.3033	(11×19)/(24×13)	[-4 0 0 0 1 -1 0 1⟩	Yama comma
210/209	8.2637	(2×3×5×7)/(11×19)	[1 1 1 1 -1 0 0 -1⟩	Spleen comma
286/285	6.0639	(2×11×13)/(3×5×19)	[1 -1 -1 0 1 1 0 -1⟩	Chthonisma
324/323	5.3516	(2×32)2/(17×19)	[2 4 0 0 0 0 -1 -1⟩	Photisma	S18
343/342	5.0547	73/(2×32×19)	[-1 -2 0 3 0 0 0 -1⟩	Nutrisma
361/360	4.8023	192/(23×32×5)	[-3 -2 -1 0 0 0 0 2⟩	Go comma, Dudon comma	S19
400/399	4.3335	(22×5)2/(3×7×19)	[4 -1 2 -1 0 0 0 -1⟩	Devichroma	S20
456/455	3.8007	(23×3×19)/(5×7×13)	[3 1 -1 -1 0 -1 0 1⟩	Abnobisma
476/475	3.6409	(22×7×17)/(52×19)	[2 0 -2 1 0 0 1 -1⟩	Hedwigma
495/494	3.5010	(32×5×11)/(2×13×19)	[-1 2 1 0 1 -1 0 -1⟩	Eulalisma
513/512	3.3780	(33×19)/29	[-9 3 0 0 0 0 0 1⟩	Undevicesimal comma, undevicesimal schisma, Boethius' comma, 513th harmonic
969/968	1.7875	(3×17×19)/(23×112)	[-3 1 0 0 -2 0 1 1⟩	Kingfisher comma
1216/1215	1.4243	(26×19)/(35×5)	[6 -5 -1 0 0 0 0 1⟩	Password comma, Eratosthenes' comma
1331/1330	1.3012	113/(2×5×7×19)	[-1 0 -1 -1 3 0 0 -1⟩	Solvejgsma
1445/1444	1.1985	5×(17/(2×19))2	[-2 0 1 0 0 0 2 -2⟩	Aureusma
1521/1520	1.1386	(3×13)2/(24×5×19)	[-4 2 -1 0 0 2 0 -1⟩	Pinkanberry	S39
1540/1539	1.1245	(22×5×7×11)/(34×19)	[2 -4 1 1 1 0 0 -1⟩	Kevolisma
1729/1728	1.0016	(7×13×19)/(22×3)3	[-6 -3 0 1 0 1 0 1⟩	Ramanujanisma
2376/2375	0.72879	((2×3)/5)3×(11/19)	[3 3 -3 0 1 0 0 -1⟩	Trichthonisma
2432/2431	0.71200	(27×19)/(11×13×17)	[7 0 0 0 -1 -1 -1 1⟩	Blumeyer comma
2926/2925	0.59177	(2×7×11×19)/((3×5)2×13)	[1 -2 -2 1 1 -1 0 1⟩	Neovulture comma, neovulturisma
3136/3135	0.55214	(23×7)2/(3×5×11×19)	[6 -1 -1 2 -1 0 0 -1⟩	Neomirkwai comma, neomirkwaisma	S56
3250/3249	0.53277	(2×53×13)/(3×19)2	[1 -2 3 0 0 1 0 -2⟩	Martebisma
4200/4199	0.41225	(23×3×52×7)/(13×17×19)	[3 1 2 1 0 -1 -1 -1⟩	Neosatanisma
5776/5775	0.29975	(22×19)2/(3×52×7×11)	[4 -1 -2 -1 -1 0 0 2⟩	Neovish comma, neovishma	S76
5929/5928	0.29202	(7×11)2/(23×3×13×19)	[-3 -1 0 2 2 -1 0 -1⟩	Manzanisma	S77
5985/5984	0.28929	(32×5×7×19)/(25×11×17)	[-5 2 1 1 -1 0 -1 1⟩	Neogrendel comma, neogrendelisma
6175/6174	0.28038	(52×13×19)/(2×32×73)	[-1 -2 2 -3 0 1 0 1⟩	Neonewtisma
6860/6859	0.25238	(22×5×73)/193	[2 0 1 3 0 0 0 -3⟩	Devicubisma
10241/10240	0.16906	(72×11×19)/(211×5)	[-11 0 -1 2 1 0 0 1⟩
10830/10829	0.15986	(2×3×5×192)/(72×13×17)	[1 1 1 -2 0 -1 -1 2⟩
12636/12635	0.13701	(22×35×13)/(5×7×192)	[2 5 -1 -1 0 1 0 -2⟩
13377/13376	0.12942	(3×73×13)/(26×11×19)	[-6 1 0 3 -1 1 0 -1⟩
14080/14079	0.12296	(28×5×11)/(3×13×192)	[8 -1 1 0 1 -1 0 -2⟩
14365/14364	0.12052	(5×132×17)/(22×33×7×19)	[-2 -3 1 -1 0 2 1 -1⟩
23409/23408	0.073957	((3/2)2×17)2/(7×11×19)	[-4 4 0 -1 -1 0 2 -1⟩		S153
27456/27455	0.063056	(26×3×11×13)/(5×172×19)	[6 1 -1 0 1 1 -2 -1⟩
28900/28899	0.059905	((2×5×17)/(3×13))2/19	[2 -2 2 0 0 -2 2 -1⟩		S170
43681/43680	0.039634	(11×19)2/(25×3×5×7×13)	[-5 -1 -1 -1 2 -1 0 2⟩		S209
89376/89375	0.019370	(25×3×72×19)/(54×11×13)	[5 1 -4 2 -1 -1 0 1⟩
104976/104975	0.016492	(2×32)4/(52×13×17×19)	[4 8 -2 0 0 -1 -1 -1⟩		S324
165376/165375	0.010469	(29×17×19)/((3×5)3×72)	[9 -3 -3 -2 0 0 1 1⟩	Decimillisma
228096/228095	0.0075900	((22×3)/7)4×(11/(5×19))	[8 4 -1 -4 1 0 0 -1⟩
601426/601425	0.0028786	(2×72×17×192)/(37×52×11)	[1 -7 -2 2 -1 0 1 2⟩
633556/633555	0.0027326	(22×7×113×17)/(33×5×13×192)	[2 -3 -1 1 3 -1 1 -2⟩	Devicisma
709632/709631	0.0024396	(210×32×7×11)/(133×17×19)	[10 2 0 1 1 -3 -1 -1⟩
5909761/5909760	0.00029294	(11×13×17)2/(28×35×5×19)	[-8 -5 -1 0 2 2 2 -1⟩		S2431
11859211/11859210	0.00014598	(19/(3×11))4×((7×13)/(2×5))	[-1 -4 -1 1 -4 1 0 4⟩

23-limit

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
23/22	76.956	23/(2×11)	[-1 0 0 0 -1 0 0 0 1⟩	Large vicesimotertial semitone
24/23	73.681	(23×3)/23	[3 1 0 0 0 0 0 0 -1⟩	Small vicesimotertial semitone
46/45	38.051	(2×23)/(32×5)	[1 -2 -1 0 0 0 0 0 1⟩	Vicesimotertial 1/5-tone
69/68	25.274	(3×23)/(22×17)	[-2 1 0 0 0 0 -1 0 1⟩	Large vicesimotertial 1/8-tone
70/69	24.910	(2×5×7)/(3×23)	[1 -1 1 1 0 0 0 0 -1⟩	Small vicesimotertial 1/8-tone
92/91	18.921	(22×23)/(7×13)	[2 0 0 -1 0 -1 0 0 1⟩	Undinisma
115/114	15.120	(5×23)/(2×3×19)	[-1 -1 1 0 0 0 0 -1 1⟩	Yarmanisma
161/160	10.787	(7×23)/(25×5)	[-5 0 -1 1 0 0 0 0 1⟩	Major kirnbergerisma
162/161	10.720	(2×34)/(7×23)	[1 4 0 -1 0 0 0 0 -1⟩	Minor kirnbergerisma
208/207	8.3433	(24×13)/(32×23)	[4 -2 0 0 0 1 0 0 -1⟩	Vicetone comma
231/230	7.5108	(3×7×11)/(2×5×23)	[-1 1 -1 1 1 0 0 0 -1⟩	Major neutravicema
253/252	6.8564	(11×23)/((2×3)2×7)	[-2 -2 0 -1 1 0 0 0 1⟩	Middle neutravicema
276/275	6.2840	(22×3×23)/(52×11)	[2 1 -2 0 -1 0 0 0 1⟩	Minor neutravicema
300/299	5.7804	((2×5)2×3)/(13×23)	[2 1 2 0 0 -1 0 0 -1⟩	Major naiadvicema
323/322	5.3682	(17×19)/(2×7×23)	[-1 0 0 -1 0 0 1 1 -1⟩	Major semivicema
391/390	4.4334	(17×23)/(2×3×5×13)	[-1 -1 -1 0 0 -1 1 0 1⟩	Minor naiadvicema
392/391	4.4221	(23×72)/(17×23)	[3 0 0 2 0 0 -1 0 -1⟩	Minor semivicema
460/459	3.7676	(22×5×23)/(33×17)	[2 -3 1 0 0 0 -1 0 1⟩	Scanisma, vicewolf comma
484/483	3.5806	(2×11)2/(3×7×23)	[2 -1 0 -1 2 0 0 0 -1⟩	Pittsburghisma	S22
507/506	3.4180	(3×132)/(2×11×23)	[-1 1 0 0 -1 2 0 0 -1⟩	Laodicisma
529/528	3.2758	232/(24×3×11)	[-4 -1 0 0 -1 0 0 0 2⟩	Preziosisma	S23
576/575	3.0082	((23×3)/5)2/23	[6 2 -2 0 0 0 0 0 -1⟩	Worcester comma	S24
736/735	2.3538	(25×23)/(3×5×72)	[5 -1 -1 -2 0 0 0 0 1⟩	Harvardisma
760/759	2.2794	(23×5×19)/(3×11×23)	[3 -1 1 0 -1 0 0 1 -1⟩	Squadronisma
875/874	1.9797	(53×7)/(2×19×23)	[-1 0 3 1 0 0 0 -1 -1⟩	Nymphisma
897/896	1.9311	(3×13×23)/(27×7)	[-7 1 0 -1 0 1 0 0 1⟩	Lysistratisma
1105/1104	1.5674	(5×13×17)/(24×3×23)	[-4 -1 1 0 0 1 1 0 -1⟩	Fragarisma
1197/1196	1.4469	(32×7×19)/(22×13×23)	[-2 2 0 1 0 -1 0 1 -1⟩	Rhodesisma
1288/1287	1.3446	(23×7×23)/(32×11×13)	[3 -2 0 1 -1 -1 0 0 1⟩	Santisma, triaphonisma
1496/1495	1.1576	(23×11×17)/(5×13×23)	[3 0 -1 0 1 -1 1 0 -1⟩	Turkisma
1863/1862	0.92952	(34×23)/(2×72×19)	[-1 4 0 -2 0 0 0 -1 1⟩	Antinousisma
2024/2023	0.85556	(23×11×23)/(7×172)	[3 0 0 -1 1 0 -2 0 1⟩	Artifisma, insincere comma
2025/2024	0.85514	(32×5)2/(23×11×23)	[-3 4 2 0 -1 0 0 0 -1⟩	Cupcake comma, cupcakesma	S45
2185/2184	0.79251	(5×19×23)/(23×3×7×13)	[-3 -1 1 -1 0 -1 0 1 1⟩	Guangdongisma
2300/2299	0.75287	((2×5)/11)2×(23/19)	[2 0 2 0 -2 0 0 -1 1⟩	Travellisma
2646/2645	0.65441	(2×33×72)/(5×232)	[1 3 -1 2 0 0 0 0 -2⟩	Biyativice comma, biyativicema
2737/2736	0.63265	(7×17×23)/(24×32×19)	[-4 -2 0 1 0 0 1 -1 1⟩	Kotkisma
3060/3059	0.56586	((2×3)2×5×17)/(7×19×23)	[2 2 1 -1 0 0 1 -1 -1⟩	Vicious comma, viciousma
3381/3380	0.51212	(3×72×23)/(22×5×132)	[-2 1 -1 2 0 -2 0 0 1⟩	Mikkolisma
3520/3519	0.49190	(26×5×11)/(32×17×23)	[6 -2 1 0 1 0 -1 0 -1⟩	Vicedim comma, vicedimma
3888/3887	0.44533	(24×35)/(132×23)	[4 5 0 0 0 -2 0 0 -1⟩	Shoalma, vicetride comma
4693/4692	0.36893	(13×192)/(22×3×17×23)	[-2 -1 0 0 0 1 -1 2 -1⟩	Viceaug comma, viceaugma
4761/4760	0.36367	(3×23)2/(23×5×7×17)	[-3 2 -1 -1 0 0 -1 0 2⟩	Demiquartervice comma	S69
5083/5082	0.34063	(13×17×23)/(2×3×7×112)	[-1 -1 0 -1 -2 1 1 0 1⟩	Broadviewsma
7866/7865	0.22010	(2×32×19×23)/(5×112×13)	[1 2 -1 0 -2 -1 0 1 1⟩
8281/8280	0.20907	(7×13)2/(23×32×5×23)	[-3 -2 -1 2 0 2 0 0 -1⟩		S91
8625/8624	0.20073	(3×53×23)/(24×72×11)	[-4 1 3 -2 -1 0 0 0 1⟩	Beerglass comma
10626/10625	0.16293	(2×3×7×11×23)/(54×17)	[1 1 -4 1 1 0 -1 0 1⟩	Demiglace comma
11271/11270	0.15361	(3×13×172)/(2×5×72×23)	[-1 1 -1 -2 0 1 2 0 -1⟩
11662/11661	0.14846	(2×73×17)/(3×132×23)	[1 -1 0 3 0 -2 1 0 -1⟩
12168/12167	0.14228	(2/23)3×(3×13)2	[3 2 0 0 0 2 0 0 -3⟩	Vicetertisma
16929/16928	0.10227	(34×11×19)/(25×232)	[-5 4 0 0 1 0 0 1 -2⟩
19551/19550	0.088552	(3×73×19)/(2×52×17×23)	[-1 1 -2 3 0 0 -1 1 -1⟩
21505/21504	0.080506	(5×11×17×23)/(210×3×7)	[-10 -1 1 -1 1 0 1 0 1⟩
21736/21735	0.079650	(23×11×13×19)/(33×5×7×23)	[3 -3 -1 -1 1 1 0 1 -1⟩
23276/23275	0.074380	((2×23)/(5×7))2×(11/19)	[2 0 -2 -2 1 0 0 -1 2⟩
25025/25024	0.069182	(52×7×11×13)/(26×17×23)	[-6 0 2 1 1 1 -1 0 -1⟩	Joshuavoisma
25921/25920	0.066790	(7×23)2/(26×34×5)	[-6 -4 -1 2 0 0 0 0 2⟩	Diarithmedia	S161
43264/43263	0.040016	(24×13)2/(32×11×19×23)	[8 -2 0 0 -1 2 0 -1 -1⟩		S208
52326/52325	0.033086	(2×34×17×19)/(52×7×13×23)	[1 4 -2 -1 0 -1 1 1 -1⟩
71875/71874	0.024087	(55×23)/(2×(3×11)3)	[-1 -3 5 0 -3 0 0 0 1⟩
75141/75140	0.023040	(33×112×23)/(22×5×13×172)	[-2 3 -1 0 2 -1 -2 0 1⟩
76545/76544	0.022617	(37×5×7)/(28×13×23)	[-8 7 1 1 0 -1 0 0 -1⟩
104329/104328	0.016594	(17×19)2/(23×34×7×23)	[-3 -4 0 -1 0 0 2 2 -1⟩		S323
122452/122451	0.014138	(22×113×23)/(3×74×17)	[2 -1 0 -4 3 0 -1 0 1⟩
126225/126224	0.013716	(33×52×11×17)/(24×73×23)	[-4 3 2 -3 1 0 1 0 -1⟩
152881/152880	0.011324	(17×23)2/(24×3×5×72×13)	[-4 -1 -1 -2 0 -1 2 0 2⟩		S391
202125/202124	0.0085652	(3×53×72×11)/(22×133×23)	[-2 1 3 2 1 -3 0 0 -1⟩
264385/264384	0.0065482	(5×112×19×23)/(26×35×17)	[-6 -5 1 0 2 0 -1 1 1⟩
282625/282624	0.0061256	(53×7×17×19)/(212×3×23)	[-12 -1 3 1 0 0 1 1 -1⟩
328510/328509	0.0052700	(2×5×7×13×192)/(3×23)3	[1 -3 1 1 0 1 0 2 -3⟩
2023425/2023424	0.00085560	((3×5×23)2×17)/(213×13×19)	[-13 2 2 0 0 -1 1 -1 2⟩
4096576/4096575	0.00042261	((23×11×23)/(32×5×17))2/7	[6 -4 -2 -1 2 0 -2 0 2⟩		S2024
5142501/5142500	0.00033665	33×((7×13)/(2×52×11))2×(23/17)	[-2 3 -4 2 -2 2 -1 0 1⟩

29-limit

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
29/28	60.751	29/(22×7)	2.7.29 [-2 -1 1⟩	Vicesimononal thirdtone, vicesimononal subchroma, large vicesimononal quartertone, large vicesimononal 2/7-tone
30/29	58.692	(2×3×5)/29	2.3.5.29 [1 1 1 -1⟩	Small vicesimononal quartertone, small vicesimononal 2/7-tone
58/57	30.109	(2×29)/(3×19)	2.3.19.29 [1 -1 -1 1⟩	Vicesimononal 1/7-tone
88/87	19.786	(23×11)/(3×29)	2.3.11.29 [3 -1 1 -1⟩	Vicesimononal 1/10-tone, farewell comma
116/115	14.989	(22×29)/(5×23)	2.5.23.29 [2 -1 -1 1⟩	Sironisma
117/116	14.860	(32×13)/(22×29)	2.3.13.29 [-2 2 1 -1⟩	Lomisma
145/144	11.981	(5×29)/(22×3)2	2.3.5.29 [-4 -2 1 1⟩	Adeonisma, 29th-partial chroma
175/174	9.9211	(52×7)/(2×3×29)	2.3.5.7.29 [-1 -1 2 1 -1⟩	Major chthonovinema
204/203	8.5073	(22×3×17)/(7×29)	2.3.7.17.29 [2 1 -1 1 -1⟩	Kallistisma
232/231	7.4783	(23×29)/(3×7×11)	2.3.7.11.29 [3 -1 -1 -1 1⟩	Major paravinema
261/260	6.6458	(32×29)/(22×5×13)	2.3.5.13.29 [-2 2 -1 -1 1⟩	Major vinetonema
290/289	5.9801	(2×5×29)/172	2.5.17.29 [1 1 -2 1⟩	Brunisma
320/319	5.4186	(26×5)/(11×29)	2.5.11.29 [6 1 -1 -1⟩	Minor paravinema
378/377	4.5861	(2×33×7)/(13×29)	2.3.7.13.29 [1 3 1 -1 -1⟩	Major semivinema
406/405	4.2694	(2×7×29)/(34×5)	2.3.5.7.29 [1 -4 -1 1 1⟩	Minor semivinema
494/493	3.5081	(2×13×19)/(17×29)	2.13.17.19.29 [1 1 -1 1 -1⟩	Minor vinetonema
551/550	3.1448	(19×29)/(2×52×11)	2.5.11.19.29 [-1 -2 -1 1 1⟩	Minor chthonovinema
552/551	3.1391	(23×3×23)/(19×29)	2.3.19.23.29 [3 1 -1 1 -1⟩	Sigelindisma
609/608	2.8451	(3×7×29)/(25×19)	2.3.7.19.29 [-5 1 1 -1 1⟩	Vineyard comma
638/637	2.7157	(2×11×29)/(72×13)	2.7.11.13.29 [1 -2 1 -1 1⟩	Moirisma
726/725	2.3863	(2×3×112)/(52×29)	2.3.5.11.29 [1 1 -2 2 -1⟩	Joellisma
783/782	2.2124	(33×29)/(2×17×23)	2.3.17.23.29 [-1 3 -1 -1 1⟩	Norisma
784/783	2.2096	(22×7)2/(33×29)	2.3.7.29 [4 -3 2 -1⟩	Biminorisma, spoogalactic comma	S28
841/840	2.0598	292/(23×3×5×7)	2.3.5.7.29 [-3 -1 -1 -1 2⟩	Arabellisma	S29
1015/1014	1.7065	(5×7×29)/(2×3×132)	2.3.5.7.13.29 [-1 -1 1 1 -2 1⟩	Christisma
1045/1044	1.6575	(5×11×19)/((2×3)2×29)	2.3.5.11.19.29 [-2 -2 1 1 1 -1⟩	Michelisma
1276/1275	1.3573	(22×11×29)/(3×52×17)	2.3.5.11.17.29 [2 -1 -2 1 -1 1⟩	Ucclisma
1450/1449	1.1944	(2×52×29)/(32×7×23)	2.3.5.7.23.29 [1 -2 2 -1 -1 1⟩	Raimondisma
1596/1595	1.0851	(22×3×7×19)/(5×11×29)	2.3.5.7.11.19.29 [2 1 -1 1 -1 1 -1⟩	Itzigsohnisma
1625/1624	1.0657	(53×13)/(23×7×29)	2.5.7.13.29 [-3 3 -1 1 -1⟩	Norcma
1683/1682	1.0290	(32×11×17)/(2×292)	2.3.11.17.29 [-1 2 1 1 -2⟩	Castafiorisma
2001/2000	0.86540	(3×23×29)/(24×53)	2.3.5.23.29 [-4 1 -3 1 1⟩
2002/2001	0.86497	(2×7×11×13)/(3×23×29)	2.3.7.11.13.23.29 [1 -1 1 1 1 -1 -1⟩
2176/2175	0.79579	(27×17)/(3×52×29)	2.3.5.17.29 [7 -1 -2 1 -1⟩	Donarisma
2205/2204	0.78532	((3×7)/2)2×(5/(19×29))	2.3.5.7.19.29 [-2 2 1 2 -1 -1⟩	Glinkisma
2262/2261	0.76552	(2×3×13×29)/(7×17×19)	2.3.7.13.17.19.29 [1 1 -1 1 -1 -1 1⟩	Mitidikisma
2465/2464	0.70247	(5×17×29)/(25×7×11)	2.5.7.11.17.29 [-5 1 -1 -1 1 1⟩
2640/2639	0.65589	(24×3×5×11)/(7×13×29)	2.3.5.7.11.13.29 [4 1 1 -1 1 -1 -1⟩	Hällströmisma
2755/2754	0.62851	(5×19×29)/(2×34×17)	2.3.5.17.19.29 [-1 -4 1 -1 1 1⟩
2784/2783	0.62196	(25×3×29)/(112×23)	2.3.11.23.29 [5 1 -2 -1 1⟩	Domeykisma
3249/3248	0.53293	(3×19)2/(24×7×29)	2.3.7.19.29 [-4 2 -1 2 -1⟩	Musashinisma, Musashino comma	S57
3451/3450	0.50173	(7×17×29)/(2×3×52×23)	2.3.5.7.17.23.29 [-1 -1 -2 1 1 -1 1⟩	Mentorisma
3510/3509	0.49330	(2×33×5×13)/(112×29)	2.3.5.11.13.29 [1 3 1 -2 1 -1⟩	Veederisma
4641/4640	0.37307	(3×7×13×17)/(25×5×29)	2.3.5.7.13.17.29 [-5 1 -1 1 1 1 -1⟩
4785/4784	0.36184	(3×5×11×29)/(24×13×23)	2.3.5.11.13.23.29 [-4 1 1 1 -1 -1 1⟩	Petrovsma
4901/4900	0.35328	(13/(2×5×7))2×29	2.5.7.13.29 [-2 -2 -2 2 1⟩	Large grapevine comma
5104/5103	0.33922	(24×11×29)/(36×7)	2.3.7.11.29 [4 -6 -1 1 1⟩
5888/5887	0.29405	(28×23)/(7×292)	2.7.23.29 [8 -1 1 -2⟩
5916/5915	0.29266	(22×3×17×29)/(5×7×132)	2.3.5.7.13.17.29 [2 1 -1 -1 -2 1 1⟩	Woudisma
6670/6669	0.25957	(2×5×23×29)/(33×13×19)	2.3.5.13.19.23.29 [1 -3 1 -1 -1 1 1⟩
7106/7105	0.24365	(2×11×17×19)/(5×72×29)	2.5.7.11.17.19.29 [1 -1 -2 1 1 1 -1⟩
7425/7424	0.23318	(33×52×11)/(28×29)	2.3.5.11.29 [-8 3 2 1 -1⟩	Small grapevine comma
7889/7888	0.21946	(73×23)/(24×17×29)	2.7.17.23.29 [-4 3 -1 1 -1⟩
8671/8670	0.19967	(13×23×29)/(2×3×5×172)	2.3.5.13.17.23.29 [-1 -1 -1 1 -2 1 1⟩
9802/9801	0.17663	(2×132×29)/(32×11)2	2.3.11.13.29 [1 -4 -2 2 1⟩
10557/10556	0.16400	(33×17×23)/(22×7×13×29)	2.3.7.13.17.23.29 [-2 3 -1 -1 1 1 -1⟩
11340/11339	0.15267	(22×34×5×7)/(17×23×29)	2.3.5.7.17.23.29 [2 4 1 1 -1 -1 -1⟩
12006/12005	0.14420	(2×32×23×29)/(5×74)	2.3.5.7.23.29 [1 2 -1 -4 1 1⟩	Uma, umic comma
12673/12672	0.13661	(19×23×29)/(27×32×11)	2.3.11.19.23.29 [-7 -2 -1 1 1 1⟩
13225/13224	0.13091	(5×23)2/(23×3×19×29)	2.3.5.19.23.29 [-3 -1 2 -1 2 -1⟩		S115
13311/13310	0.13007	(33×17×29)/(2×5×113)	2.3.5.11.17.29 [-1 3 -1 -3 1 1⟩
13312/13311	0.13006	(210×13)/(33×17×29)	2.3.13.17.29 [10 -3 1 -1 -1⟩
13456/13455	0.12866	(22×29)2/(32×5×13×23)	2.3.5.13.23.29 [4 -2 -1 -1 -1 2⟩		S116
19228/19227	0.090039	(22×11×19×23)/(3×13×17×29)	2.3.11.13.17.19.23.29 [2 -1 1 -1 -1 1 1 -1⟩
20736/20735	0.083491	(22×3)4/(5×11×13×29)	2.3.5.11.13.29 [8 4 -1 -1 -1 -1⟩		S144
23751/23750	0.072893	(32×7×13×29)/(2×54×19)	2.3.5.7.13.19.29 [-1 2 -4 1 1 -1 1⟩
24795/24794	0.069823	(32×5×19×29)/(2×72×11×23)	2.3.5.7.11.19.23.29 [-1 2 1 -2 -1 1 -1 1⟩
25840/25839	0.067000	(24×5×17×19)/(34×11×29)	2.3.5.11.17.19.29 [4 -4 1 -1 1 1 -1⟩	Vuillafansisma
27000/26999	0.064121	(2×3×5)3/(72×19×29)	2.3.5.7.19.29 [3 3 3 -2 -1 -1⟩
30625/30624	0.056531	(52×7)2/(25×3×11×29)	2.3.5.7.11.29 [-5 -1 4 2 -1 -1⟩		S175
30856/30855	0.056108	(23×7×19×29)/(3×5×112×17)	2.3.5.7.11.17.19.29 [3 -1 -1 1 -2 -1 1 1⟩
35322/35321	0.049014	(2×3×7×292)/(11×132×19)	2.3.7.11.13.19.29 [1 1 1 -1 -2 -1 2⟩
47125/47124	0.036737	(53×13×29)/((2×3)2×7×11×17)	2.3.5.7.11.13.17.29 [-2 -2 3 -1 -1 1 -1 1⟩
53361/53360	0.032444	(3×7×11)2/(24×5×23×29)	2.3.5.7.11.23.29 [-4 2 -1 2 2 -1 -1⟩		S231
72501/72500	0.023879	(3×11×133)/((2×52)2×29)	2.3.5.11.13.29 [-2 1 -4 1 3 -1⟩
83521/83520	0.020728	174/((23×3)2×5×29)	2.3.5.17.29 [-6 -2 -1 4 -1⟩		S289
87465/87464	0.019794	(3×5×73×17)/(23×13×292)	2.3.5.7.13.17.29 [-3 1 1 3 -1 1 -2⟩
136851/136850	0.012651	(3×112×13×29)/(2×52×7×17×23)	2.3.5.7.11.13.17.23.29 [-1 1 -2 -1 2 1 -1 -1 1⟩
158950/158949	0.010892	(2×(5×17)2×11)/(33×7×292)	2.3.5.7.11.17.29 [1 -3 2 -1 1 2 -2⟩
166635/166634	0.010389	((3×23)2×5×7)/(2×132×17×29)	2.3.5.7.13.17.23.29 [-1 2 1 1 -2 -1 2 -1⟩
168751/168750	0.010259	(11×232×29)/(2×33×55)	2.3.5.11.23.29 [-1 -3 -5 1 2 1⟩
176001/176000	0.0098365	(3×7×172×29)/(27×53×11)	2.3.5.7.11.17.29 [-7 1 -3 1 -1 2 1⟩
176176/176175	0.0098268	(24×7×112×13)/(35×52×29)	2.3.5.7.11.13.29 [4 -5 -2 1 2 1 -1⟩
184093/184092	0.0094042	((7×17)2×13)/((2×23)2×3×29)	2.3.7.13.17.23.29 [-2 -1 2 1 2 -2 -1⟩
240787/240786	0.0071899	(192×23×29)/(2×(3×7)3×13)	2.3.7.13.19.23.29 [-1 -3 -3 -1 2 1 1⟩
244036/244035	0.0070942	(2×13×19)2/(32×5×11×17×29)	2.3.5.11.13.17.19.29 [2 -2 -1 -1 2 -1 2 -1⟩		S494
303601/303600	0.0057023	((19×29)/(22×5))2/(3×11×23)	2.3.5.11.19.23.29 [-4 -1 -2 -1 2 -1 2⟩		S551
410670/410669	0.0042156	(2×35×5×132)/((7×17)2×29)	2.3.5.7.13.17.29 [1 5 1 -2 2 -2 -1⟩
418761/418760	0.0041342	((3×17)2×7×23)/(23×5×192×29)	2.3.5.7.17.19.23.29 [-3 2 -1 1 2 -2 1 -1⟩
613089/613088	0.0028238	(33×29)2/(25×72×17×23)	2.3.7.17.23.29 [-5 6 -2 -1 -1 2⟩		S783
949026/949025	0.0018242	(2×3×13×233)/(52×7×11×17×29)	2.3.5.7.11.13.17.23.29 [1 1 -2 -1 -1 1 -1 3 -1⟩
1163800/1163799	0.0014876	(23×(5×23)2×11)/(32×73×13×29)	2.3.5.7.11.13.23.29 [3 -2 2 -3 1 -1 2 -1⟩
1235169/1235168	0.0014016	(35×13×17×23)/(25×113×29)	2.3.11.13.17.23.29 [-5 5 -3 1 1 1 -1⟩
1243840/1243839	0.0013918	((23×13)2×5×23)/(3×17×293)	2.3.5.13.17.23.29 [6 -1 1 2 -1 1 -3⟩
1625625/1625624	0.0010650	(3×52×17)2/(23×72×11×13×29)	2.3.5.7.11.13.17.29 [-3 2 4 -2 -1 -1 2 -1⟩		S1275
1852201/1852200	0.00093469	(13×173×29)/((2×3×7)3×52)	2.3.5.7.13.17.29 [-3 -3 -2 -3 1 3 1⟩
2697696/2697695	0.00064175	(25×32×17×19×29)/(5×73×112×13)	2.3.5.7.11.13.17.19.29 [5 2 -1 -3 -2 -1 1 1 1⟩
4004001/4004000	0.00043238	(3×23×29)2/(25×53×7×11×13)	2.3.5.7.11.13.23.29 [-5 2 -3 -1 -1 -1 2 2⟩	Odyssey comma	S2001
4090625/4090624	0.00042322	(55×7×11×17)/((24×29)2×19)	2.5.7.11.17.19.29 [-8 5 1 1 1 -1 -2⟩
8268800/8268799	0.00020937	((25×5)2×17×19)/((7×23)2×11×29)	2.5.7.11.17.19.23.29 [10 2 -2 -1 1 1 -2 -1⟩
10556001/10556000	0.00016400	(3×19)4/(25×53×7×13×29)	2.3.5.7.13.19.29 [-5 4 -3 -1 -1 4 -1⟩		S3249
18085705/18085704	9.5724×10-5	(5×11×17×23×292)/((2×7×13)3×3)	2.3.5.7.11.13.17.23.29 [-3 -1 1 -3 1 -3 1 1 2⟩
96059601/96059600	1.8022×10-5	(32×11)4/((22×5×7×13)2×29)	2.3.5.7.11.13.29 [-4 8 -2 -2 4 -2 -1⟩		S9801
177182721/177182720	9.7709×10-6	(33×17×29)2/(211×5×113×13)	2.3.5.11.13.17.29 [-11 6 -1 -3 -1 2 2⟩		S13311

31-limit

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
31/30	56.767	31/(2×3×5)	2.3.5.31 [-1 -1 -1 1⟩	Large tricesimoprimal 1/4-tone
32/31	54.964	25/31	2.31 [5 -1⟩	Small tricesimoprimal 1/4-tone, octave-reduced 31st subharmonic
63/62	27.700	(32×7)/(2×31)	2.3.7.31 [-1 2 1 -1⟩	Tricesimoprimal 1/8-tone, co-archyta comma
93/92	18.716	(3×31)/(22×23)	2.3.23.31 [-2 1 -1 1⟩
125/124	13.906	53/(22×31)	2.5.31 [-2 3 -1⟩	Twizzler
155/154	11.205	(5×31)/(2×7×11)	2.5.7.11.31 [-1 1 -1 -1 1⟩
156/155	11.133	(22×3×13)/(5×31)	2.3.5.13.31 [2 1 -1 1 -1⟩
187/186	9.2828	(11×17)/(2×3×31)	2.3.11.17.31 [-1 -1 1 1 -1⟩
217/216	7.9965	(7×31)/(2×3)3	2.3.7.31 [-3 -3 1 1⟩	Tricesimoprimal kleisma
248/247	6.9949	(23×31)/(13×19)	2.13.19.31 [3 -1 -1 1⟩
280/279	6.1940	(23×5×7)/(32×31)	2.3.5.7.31 [3 -2 1 1 -1⟩
341/340	5.0844	(11×31)/(22×5×17)	2.5.11.17.31 [-2 -1 1 -1 1⟩
342/341	5.0695	(2×32×19)/(11×31)	2.3.11.19.31 [1 2 -1 1 -1⟩
435/434	3.9844	(3×5×29)/(2×7×31)	2.3.5.7.29.31 [-1 1 1 -1 1 -1⟩
465/464	3.7271	(3×5×31)/(24×29)	2.3.5.29.31 [-4 1 1 -1 1⟩
496/495	3.4939	(24×31)/(32×5×11)	2.3.5.11.31 [4 -2 -1 -1 1⟩	Navatonisma
528/527	3.2820	(24×3×11)/(17×31)	2.3.11.17.31 [4 1 1 -1 -1⟩
589/588	2.9418	(19×31)/(22×3×72)	2.3.7.19.31 [-2 -1 -2 1 1⟩
621/620	2.7901	(33×23)/(22×5×31)	2.3.5.23.31 [-2 3 -1 1 -1⟩	Owowhatsthisma
651/650	2.6614	(3×7×31)/(2×52×13)	2.3.5.7.13.31 [-1 1 -2 1 -1 1⟩
714/713	2.4264	(2×3×7×17)/(23×31)	2.3.7.17.23.31 [1 1 1 1 -1 -1⟩
806/805	2.1493	(2×13×31)/(5×7×23)	2.5.7.13.23.31 [1 -1 -1 1 -1 1⟩
837/836	2.0696	(33×31)/(22×11×19)	2.3.11.19.31 [-2 3 -1 -1 1⟩
868/867	1.9957	(22×7×31)/(3×172)	2.3.7.17.31 [2 -1 1 -2 1⟩
900/899	1.9247	(2×3×5)2/(29×31)	2.3.5.29.31 [2 2 2 -1 -1⟩		S30
931/930	1.8605	(72×19)/(2×3×5×31)	2.3.5.7.19.31 [-1 -1 -1 2 1 -1⟩
961/960	1.8024	312/(26×3×5)	2.3.5.31 [-6 -1 -1 2⟩		S31
1024/1023	1.6915	210/(3×11×31)	2.3.11.31 [10 -1 -1 -1⟩	Kibisma	S32
1054/1053	1.6433	(2×17×31)/(34×13)	2.3.13.17.31 [1 -4 -1 1 1⟩
1210/1209	1.4314	(2×5×112)/(3×13×31)	2.3.5.11.13.31 [1 -1 1 2 -1 -1⟩
1365/1364	1.2688	(3×5×7×13)/(22×11×31)	2.3.5.7.11.13.31 [-2 1 1 1 -1 1 -1⟩
1426/1425	1.2145	(2×23×31)/(3×52×19)	2.3.5.19.23.31 [1 -1 -2 -1 1 1⟩
1519/1518	1.1401	(72×31)/(2×3×11×23)	2.3.7.11.23.31 [-1 -1 2 -1 -1 1⟩
1520/1519	1.1393	(24×5×19)/(72×31)	2.5.7.19.31 [4 1 -2 1 -1⟩
1768/1767	0.97948	(23×13×17)/(3×19×31)	2.3.13.17.19.31 [3 -1 1 1 -1 -1⟩
1860/1859	0.93102	(22×3×5×31)/(11×132)	2.3.5.11.13.31 [2 1 1 -1 -2 1⟩
2016/2015	0.85896	(25×32×7)/(5×13×31)	2.3.5.7.13.31 [5 2 -1 1 -1 -1⟩
2233/2232	0.77547	(7×11×29)/(23×32×31)	2.3.7.11.29.31 [-3 -2 1 1 1 -1⟩	Kuznetsovisma
2945/2944	0.58796	(5×19×31)/(27×23)	2.5.19.23.31 [-7 1 1 -1 1⟩
2976/2975	0.58183	(25×3×31)/(52×7×17)	2.3.5.7.17.31 [5 1 -2 -1 -1 1⟩
3565/3564	0.48569	(5×23×31)/((2×32)2×11)	2.3.5.11.23.31 [-2 -4 1 -1 1 1⟩
3751/3750	0.46160	(112×31)/(2×3×54)	2.3.5.11.31 [-1 -1 -4 2 1⟩
3876/3875	0.44671	(22×3×17×19)/(53×31)	2.3.5.17.19.31 [2 1 -3 1 1 -1⟩
3969/3968	0.43624	(32×7)2/(27×31)	2.3.7.31 [-7 4 2 -1⟩	Yunzee comma	S63
4186/4185	0.41363	(2×7×13×23)/(33×5×31)	2.3.5.7.13.23.31 [1 -3 -1 1 1 1 -1⟩	Tamashimisma
4960/4959	0.34907	(25×5×31)/(32×19×29)	2.3.5.19.29.31 [5 -2 1 -1 -1 1⟩
4992/4991	0.34684	(27×3×13)/(7×23×31)	2.3.7.13.23.31 [7 1 -1 1 -1 -1⟩	Kalmanisma
5643/5642	0.30682	(33×11×19)/(2×7×13×31)	2.3.7.11.13.19.31 [-1 3 -1 1 -1 1 -1⟩
5797/5796	0.29867	(11×17×31)/((2×3)2×7×23)	2.3.7.11.17.23.31 [-2 -2 -1 1 1 -1 1⟩	Bivojisma
6076/6075	0.28495	((2×7)2×31)/(35×52)	2.3.5.7.31 [2 -5 -2 2 1⟩
6138/6137	0.28207	(2×32×11×31)/(17×192)	2.3.11.17.19.31 [1 2 1 -1 -2 1⟩
6293/6292	0.27513	(7×29×31)/((2×11)2×13)	2.7.11.13.29.31 [-2 1 -2 -1 1 1⟩
6325/6324	0.27373	(52×11×23)/(22×3×17×31)	2.3.5.11.17.23.31 [-2 -1 2 1 -1 1 -1⟩
6480/6479	0.26719	((2×3)4×5)/(11×19×31)	2.3.5.11.19.31 [4 4 1 -1 -1 -1⟩	Scarlattisma
6728/6727	0.25734	(23×292)/(7×312)	2.7.29.31 [3 -1 2 -2⟩
7657/7656	0.22611	(13×19×31)/(23×3×11×29)	2.3.11.13.19.29.31 [-3 -1 -1 1 1 -1 1⟩
7905/7904	0.21902	(3×5×17×31)/(25×13×19)	2.3.5.13.17.19.31 [-5 1 1 -1 1 -1 1⟩
7936/7935	0.21816	(28×31)/(3×5×232)	2.3.5.23.31 [8 -1 -1 -2 1⟩
8092/8091	0.21396	((2×17)2×7)/(32×29×31)	2.3.7.17.29.31 [2 -2 1 2 -1 -1⟩
8464/8463	0.20455	(22×23)2/(3×7×13×31)	2.3.7.13.23.31 [4 -1 -1 -1 2 -1⟩	Polishookisma	S92
8526/8525	0.20307	(2×3×72×29)/(52×11×31)	2.3.5.7.11.29.31 [1 1 -2 2 -1 1 -1⟩
8960/8959	0.19323	(28×5×7)/(172×31)	2.5.7.17.31 [8 1 1 -2 -1⟩
9425/9424	0.18370	(52×13×29)/(24×19×31)	2.5.13.19.29.31 [-4 2 1 -1 1 -1⟩
10881/10880	0.15911	(33×13×31)/(27×5×17)	2.3.5.13.17.31 [-7 3 -1 1 -1 1⟩
11781/11780	0.14696	(32×7×11×17)/(22×5×19×31)	2.3.5.7.11.17.19.31 [-2 2 -1 1 1 1 -1 -1⟩
11935/11934	0.14506	(5×7×11×31)/(2×33×13×17)	2.3.5.7.11.13.17.31 [-1 -3 1 1 1 -1 -1 1⟩
12122/12121	0.14282	(2×11×19×29)/(17×23×31)	2.11.17.19.23.29.31 [1 1 -1 1 -1 1 -1⟩
13300/13299	0.13017	((2×5)2×7×19)/(3×11×13×31)	2.3.5.7.11.13.19.31 [2 -1 2 1 -1 -1 1 -1⟩
13455/13454	0.12867	(32×5×13×23)/(2×7×312)	2.3.5.7.13.23.31 [-1 2 1 -1 1 1 -2⟩
15625/15624	0.11080	56/(23×32×7×31)	2.3.5.7.31 [-3 -2 6 -1 -1⟩		S125
17577/17576	0.098497	(34×7×31)/(23×133)	2.3.7.13.31 [-3 4 1 -3 1⟩	Acronymisma
19251/19250	0.089931	(33×23×31)/(2×53×7×11)	2.3.5.7.11.23.31 [-1 3 -3 -1 -1 1 1⟩	Totziensisma
19344/19343	0.089500	(24×3×13×31)/(23×292)	2.3.13.23.29.31 [4 1 1 -1 -2 1⟩	Honeybrookisma
19965/19964	0.086716	(3×5×113)/(22×7×23×31)	2.3.5.7.11.23.31 [-2 1 1 -1 3 -1 -1⟩
21142/21141	0.081888	(2×11×312)/(36×29)	2.3.11.29.31 [1 -6 1 -1 2⟩
22816/22815	0.075880	(25×23×31)/(33×5×132)	2.3.5.13.23.31 [5 -3 -1 -2 1 1⟩
23375/23374	0.074065	(53×11×17)/(2×13×29×31)	2.5.11.13.17.29.31 [-1 3 1 -1 1 -1 -1⟩
23716/23715	0.073000	(2×7×11)2/(32×5×17×31)	2.3.5.7.11.17.31 [2 -2 -1 2 2 -1 -1⟩		S154
24025/24024	0.072061	(5×31)2/(23×3×7×11×13)	2.3.5.7.11.13.31 [-3 -1 2 -1 -1 -1 2⟩		S155
27405/27404	0.063173	(33×5×7×29)/(22×13×17×31)	2.3.5.7.13.17.29.31 [-2 3 1 1 -1 -1 1 -1⟩
29792/29791	0.058112	(25×72×19)/313	2.7.19.31 [5 2 1 -3⟩	Tricecubisma
31465/31464	0.055022	(5×7×29×31)/(23×32×19×23)	2.3.5.7.19.23.29.31 [-3 -2 1 1 -1 -1 1 1⟩
31900/31899	0.054272	((2×5)2×11×29)/(3×73×31)	2.3.5.7.11.29.31 [2 -1 2 -3 1 1 -1⟩
32799/32798	0.052784	(3×13×292)/(2×232×31)	2.3.13.23.29.31 [-1 1 1 -2 2 -1⟩
41262/41261	0.041958	(2×3×13×232)/(113×31)	2.3.11.13.23.31 [1 1 -3 1 2 -1⟩
42688/42687	0.040556	(26×23×29)/(34×17×31)	2.3.17.23.29.31 [6 -4 -1 1 1 -1⟩
49011/49010	0.035324	(3×17×312)/(2×5×132×29)	2.3.5.13.17.29.31 [-1 1 -1 -2 1 -1 2⟩
58311/58310	0.029690	(32×11×19×31)/(2×5×73×17)	2.3.5.7.11.17.19.31 [-1 2 -1 -3 1 -1 1 1⟩
78337/78336	0.022100	(7×192×31)/(29×32×17)	2.3.7.17.19.31 [-9 -2 1 -1 2 1⟩
96876/96875	0.017871	(22×34×13×23)/(55×31)	2.3.5.13.23.31 [2 4 -5 1 1 -1⟩
98736/98735	0.017534	(24×3×112×17)/(5×72×13×31)	2.3.5.7.11.13.17.31 [4 1 -1 -2 2 -1 1 -1⟩
102487/102486	0.016892	(7×114)/(2×3×19×29×31)	2.3.7.11.19.29.31 [-1 -1 1 4 -1 -1 -1⟩
108376/108375	0.015974	(23×19×23×31)/(3×53×172)	2.3.5.17.19.23.31 [3 -1 -3 -2 1 1 1⟩
111321/111320	0.015552	(33×7×19×31)/(23×5×112×23)	2.3.5.7.11.19.23.31 [-3 3 -1 1 -2 1 -1 1⟩
111476/111475	0.015530	(22×29×312)/(52×73×13)	2.5.7.13.29.31 [2 -2 -3 -1 1 2⟩
116281/116280	0.014888	(11×31)2/(23×32×5×17×19)	2.3.5.11.17.19.31 [-3 -2 -1 2 -1 -1 2⟩		S341
116964/116963	0.014801	(2×32×19)2/(73×11×31)	2.3.7.11.19.31 [2 4 -3 -1 2 -1⟩		S342
122265/122264	0.014160	(32×5×11×13×19)/(23×17×29×31)	2.3.5.11.13.17.19.29.31 [-3 2 1 1 1 -1 1 -1 -1⟩
174097/174096	0.0099441	(72×11×17×19)/(24×33×13×31)	2.3.7.11.13.17.19.31 [-4 -3 2 1 -1 1 1 -1⟩
175770/175769	0.0098495	(2×34×5×7×31)/(11×19×292)	2.3.5.7.11.19.29.31 [1 4 1 1 -1 -1 -2 1⟩
178126/178125	0.0097192	(2×132×17×31)/(3×55×19)	2.3.5.13.17.19.31 [1 -1 -5 2 1 -1 1⟩
190464/190463	0.0090896	(211×3×31)/((7×13)2×23)	2.3.7.13.23.31 [11 1 -2 -2 -1 1⟩
207576/207575	0.0083403	((2×3)3×312)/((5×19)2×23)	2.3.5.19.23.31 [3 3 -2 -2 -1 2⟩
212382/212381	0.0081515	(2×35×19×23)/(13×17×312)	2.3.13.17.19.23.31 [1 5 -1 -1 1 1 -2⟩
227448/227447	0.0076116	(23×37×13)/(11×23×29×31)	2.3.11.13.23.29.31 [3 7 -1 1 -1 -1 -1⟩
240065/240064	0.0072115	(5×7×193)/(26×112×31)	2.5.7.11.19.31 [-6 1 1 -2 3 -1⟩
245025/245024	0.0070656	(32×5×11)2/(25×13×19×31)	2.3.5.11.13.19.31 [-5 4 2 2 -1 -1 -1⟩		S495
260338/260337	0.0066500	(2×13×17×19×31)/(3×73×11×23)	2.3.7.11.13.17.19.23.31 [1 -1 -3 -1 1 1 1 -1 1⟩
268801/268800	0.0064406	(13×23×29×31)/(29×3×52×7)	2.3.5.7.13.23.29.31 [-9 -1 -2 -1 1 1 1 1⟩
278784/278783	0.0062010	(24×3×11)2/(17×232×31)	2.3.11.17.23.31 [8 2 2 -1 -2 -1⟩		S528
288145/288144	0.0060082	(5×11×132×31)/(24×3×3×23×29)	2.3.5.11.13.23.29.31 [-4 -3 1 1 2 -1 -1 1⟩
314433/314432	0.0055059	((3×7)2×23×31)/(22×17)3	2.3.7.17.23.31 [-6 2 2 -3 1 1⟩
453376/453375	0.0038185	(28×7×11×23)/(32×53×13×31)	2.3.5.7.11.13.23.31 [8 -2 -3 1 1 -1 1 -1⟩
459173/459172	0.0037703	(11×133×19)/(22×7×232×31)	2.7.11.13.19.23.31 [-2 -1 1 3 1 -2 -1⟩
509796/509795	0.0033959	(2×3×7×17)2/(5×11×13×23×31)	2.3.5.7.11.13.17.23.31 [2 2 -1 2 -1 -1 2 -1 -1⟩		S714
773605/773604	0.0022379	(5×7×23×312)/(22×33×13×19×29)	2.3.5.7.13.19.23.29.31 [-2 -3 1 1 -1 -1 1 -1 2⟩
863940/863939	0.0020039	(22×3×5×7×112×17)/(29×313)	2.3.5.7.11.17.29.31 [2 1 1 1 2 1 -1 -3⟩
912951/912950	0.0018963	(35×13×172)/(2×52×19×312)	2.3.5.13.17.19.31 [-1 5 -2 1 2 -1 -2⟩
1147125/1147124	0.0015092	(3×53×7×19×23)/(22×11×292×31)	2.3.5.7.11.19.23.29.31 [-2 1 3 1 -1 1 1 -2 -1⟩
1154440/1154439	0.0014996	(23×5×72×19×31)/(33×11×132×23)	2.3.5.7.11.13.19.23.31 [3 -3 1 2 -1 -2 1 -1 1⟩
1255501/1255500	0.0013789	(132×17×19×23)/(22×34×53×31)	2.3.5.13.17.19.23.31 [-2 -4 -3 2 1 1 1 -1⟩
1594176/1594175	0.0010860	(26×3×192×23)/((5×11)2×17×31)	2.3.5.11.17.19.23.31 [6 1 -2 -2 -1 2 1 -1⟩
2307361/2307360	0.00075031	(72×31)2/(25×3×5×11×19×23)	2.3.5.7.11.19.23.31 [-5 -1 -1 4 -1 -1 -1 2⟩		S1519
2310400/2310399	0.00074932	((24×5×19)/(3×7×13))2/31	2.3.5.7.13.19.31 [8 -2 2 -2 -2 2 -1⟩		S1520
2345057/2345056	0.00073825	(11×13×232×31)/(25×7×192×29)	2.7.11.13.19.23.29.31 [-5 -1 1 1 -2 2 -1 1⟩
3206269/3206268	0.00053995	(11×19×232×29)/((2×3×13)2×17×31)	2.3.11.13.17.19.23.29.31 [-2 -2 1 -2 -1 1 2 1 -1⟩
3301376/3301375	0.00052440	(213×13×31)/(53×74×11)	2.5.7.11.13.31 [13 -3 -4 -1 1 1⟩
3346110/3346109	0.00051739	(2×39×5×17)/(13×192×23×31)	2.3.5.13.17.19.23.31 [1 9 1 -1 1 -2 -1 -1⟩
3897166/3897165	0.00044423	(2×73×13×19×23)/(3×5×172×29×31)	2.3.5.7.13.17.19.23.29.31 [1 -1 -1 3 1 -2 1 1 -1 -1⟩
14753025/14753024	0.00011735	((3×5)2×7×17×19×29)/(28×11×132×31)	2.3.5.7.11.13.17.19.29.31 [-8 2 2 1 -1 -2 1 1 1 -1⟩
16093000/16092999	0.00010758	((2×5)3×7×112×19)/(34×13×17×29×31)	2.3.5.7.11.13.17.19.29.31 [3 -4 3 1 2 -1 -1 1 -1 -1⟩
76271625/76271624	2.2698×10-5	(39×53×31)/((2×11)3×13×19×29)	2.3.5.11.13.19.29.31 [-3 9 3 -3 -1 -1 -1 1⟩
80061345/80061344	2.1624×10-5	(33×5×74×13×19)/(25×112×23×29×31)	2.3.5.7.11.13.19.23.29.31 [-5 3 1 4 -2 1 1 -1 -1 -1⟩
133920000/133919999	1.2927×10-5	(28×33×54×31)/(172×19×293)	2.3.5.17.19.29.31 [8 3 4 -2 -1 -3 1⟩
181037025/181037024	9.5629×10-6	(32×5×13×23)2/(25×7×(29×31)2)	2.3.5.7.13.23.29.31 [-5 4 2 -1 2 2 -2 -2⟩		S13455
370256250/370256249	4.6758×10-6	(2×3×55×72×13×31)/(117×19)	2.3.5.7.11.13.19.31 [1 1 5 2 -7 1 -1 1⟩
1611308700/1611308699	1.0744×10-6	((2×33×5×31)/(72×13×19))2×(23/11)	2.3.5.7.11.13.19.23.31 [2 6 2 -4 -1 -2 -2 1 2⟩

37-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
37/36	47.434	37/(2×3)2	2.3.37 [-2 -2 1⟩	Large tricesimoseptimal 1/4-tone, 37th-partial chroma
38/37	46.169	(2×19)/37	2.19.37 [1 1 -1⟩	Small tricesimoseptimal 1/4-tone
75/74	23.238	(3×52)/(2×37)	2.3.5.37 [-1 1 2 -1⟩
111/110	15.667	(3×37)/(2×5×11)	2.3.5.11.37 [-1 1 -1 -1 1⟩
112/111	15.527	(24×7)/(3×37)	2.3.7.37 [4 -1 1 -1⟩
148/147	11.737	(22×37)/(3×72)	2.3.7.37 [2 -1 -2 1⟩
185/184	9.3834	(5×37)/(23×23)	2.5.23.37 [-3 1 -1 1⟩
186/185	9.3328	(2×3×31)/(5×37)	2.3.5.31.37 [1 1 -1 1 -1⟩
222/221	7.8160	(2×3×37)/(13×17)	2.3.13.17.37 [1 1 -1 -1 1⟩
260/259	6.6714	(22×5×13)/(7×37)	2.5.7.13.37 [2 1 -1 1 -1⟩
297/296	5.8389	(33×11)/(23×37)	2.3.11.37 [-3 3 1 -1⟩
407/406	4.2589	(11×37)/(2×7×29)	2.7.11.29.37 [-1 -1 1 -1 1⟩
408/407	4.2484	(23×3×17)/(11×37)	2.3.11.17.37 [3 1 -1 1 -1⟩
481/480	3.6030	(13×37)/(25×3×5)	2.3.5.13.37 [-5 -1 -1 1 1⟩	Semaphorisma
630/629	2.7502	(2×32×5×7)/(17×37)	2.3.5.7.17.37 [1 2 1 1 -1 -1⟩
666/665	2.6014	(2×32×37)/(5×7×19)	2.3.5.7.19.37 [1 2 -1 -1 -1 1⟩	Beastisma
667/666	2.5975	(23×29)/(2×32×37)	2.3.23.29.37 [-1 -2 1 1 -1⟩	Denisisma
703/702	2.4644	(19×37)/(2×33×13)	2.3.13.19.37 [-1 -3 -1 1 1⟩	Noemisma
704/703	2.4609	(26×11)/(19×37)	2.11.19.37 [6 1 -1 -1⟩	Minimyna
741/740	2.3379	(3×13×19)/(22×5×37)	2.3.5.13.19.37 [-2 1 -1 1 1 -1⟩	Botolphisma
851/850	2.0355	(23×37)/(2×52×17)	2.5.17.23.37 [-1 -2 -1 1 1⟩	Zeissisma
925/924	1.8726	(52×37)/(22×3×7×11)	2.3.5.7.11.37 [-2 -1 2 -1 -1 1⟩	Alphonsinisma
962/961	1.8006	(2×13×37)/312	2.13.31.37 [1 1 -2 1⟩
1000/999	1.7321	(2×5)3/(33×37)	2.3.5.37 [3 -3 3 -1⟩
1036/1035	1.6719	(22×7×37)/(32×5×23)	2.3.5.7.23.37 [2 -2 -1 1 -1 1⟩	Ganymedisma
1184/1183	1.4628	(25×37)/(7×132)	2.7.13.37 [5 -1 -2 1⟩	Gaeisma
1296/1295	1.3363	(2×3)4/(5×7×37)	2.3.5.7.37 [4 4 -1 -1 -1⟩		S36
1332/1331	1.3002	(22×32×37)/113	2.3.11.37 [2 2 -3 1⟩	Marconisma
1369/1368	1.2651	372/(23×32×19)	2.3.19.37 [-3 -2 -1 2⟩		S37
1444/1443	1.1993	(2×19)2/(3×13×37)	2.3.13.19.37 [2 -1 -1 2 -1⟩		S38
1480/1479	1.1701	(23×5×37)/(3×17×29)	2.3.5.17.29.37 [3 -1 1 -1 -1 1⟩	Aunusisma
1665/1664	1.0401	(32×5×37)/(27×13)	2.3.5.13.37 [-7 2 1 -1 1⟩	Gabisma
1666/1665	1.0395	(2×72×17)/(32×5×37)	2.3.5.7.17.37 [1 -2 -1 2 1 -1⟩	Gentisma
1702/1701	1.0175	(2×23×37)/(35×7)	2.3.7.23.37 [1 -5 -1 1 1⟩	Kalaharisma
1925/1924	0.89958	(52×7×11)/(22×13×37)	2.5.7.11.13.37 [-2 2 1 1 -1 -1⟩	Misericorde
2109/2108	0.82107	(3×19×37)/(22×17×31)	2.3.17.19.31.37 [-2 1 -1 1 -1 1⟩	Dhotelisma
2146/2145	0.80691	(2×29×37)/(3×5×11×13)	2.3.5.11.13.29.37 [1 -1 -1 -1 -1 1 1⟩	Stentorisma
2295/2294	0.75451	(33×5×17)/(2×31×37)	2.3.5.17.31.37 [-1 3 1 1 -1 -1⟩
2553/2552	0.67825	(3×23×37)/(23×11×29)	2.3.11.23.29.37 [-3 1 -1 1 -1 1⟩	Viljevisma
2738/2737	0.63241	(2×372)/(7×17×23)	2.7.17.23.37 [1 -1 -1 -1 2⟩
2850/2849	0.60756	(2×3×52×19)/(7×11×37)	2.3.5.7.11.19.37 [1 1 2 -1 -1 1 -1⟩	Mozhaiskisma
3146/3145	0.55038	(2×112×13)/(5×17×37)	2.5.11.13.17.37 [1 -1 2 1 -1 -1⟩	Datonisma
3220/3219	0.53773	(22×5×7×23)/(3×29×37)	2.3.5.7.23.29.37 [2 -1 1 1 1 -1 -1⟩	Murayamisma
3256/3255	0.53179	(23×11×37)/(3×5×7×31)	2.3.5.7.11.31.37 [3 -1 -1 -1 1 -1 1⟩	Daguerrisma
3367/3366	0.51425	(7×13×37)/(2×32×11×17)	2.3.7.11.13.17.37 [-1 -2 1 -1 1 -1 1⟩	Alexisma
3553/3552	0.48733	(11×17×19)/(25×3×37)	2.3.11.17.19.37 [-5 -1 1 1 1 -1⟩	Meranisma
3626/3625	0.47752	(2×72×37)/(53×29)	2.5.7.29.37 [1 -3 2 -1 1⟩	Ohsakisma
3627/3626	0.47738	(32×13×31)/(2×72×37)	2.3.7.13.31.37 [-1 2 -2 1 1 -1⟩	Sayersisma
3774/3773	0.45879	(2×3×17×37)/(73×11)	2.3.7.11.17.37 [1 1 -3 -1 1 1⟩	Megumisma
4256/4255	0.40682	(25×7×19)/(5×23×37)	2.5.7.19.23.37 [5 -1 1 1 -1 -1⟩
4625/4624	0.37436	(53×37)/(24×172)	2.5.17.37 [-4 3 -2 1⟩	Shchedrinisma
5291/5290	0.32723	(11×13×37)/(2×5×232)	2.5.11.13.23.37 [-1 -1 1 1 -2 1⟩
5292/5291	0.32717	(22×33×72)/(11×13×37)	2.3.7.11.13.37 [2 3 2 -1 -1 -1⟩	Bullionisma
5440/5439	0.31827	(26×5×17)/(3×72×37)	2.3.5.7.17.37 [6 -1 1 -2 1 -1⟩	Teraosma
5625/5624	0.30780	(3×52)2/(23×19×37)	2.3.5.19.37 [-3 2 4 -1 -1⟩		S75
6993/6992	0.24758	(33×7×37)/(24×19×23)	2.3.7.19.23.37 [-4 3 1 -1 -1 1⟩
7105/7104	0.24368	(5×72×29)/(26×3×37)	2.3.5.7.29.37 [-6 -1 1 2 1 -1⟩	Yousyozanisma
7696/7695	0.22497	(24×13×37)/(34×5×19)	2.3.5.13.19.37 [4 -4 -1 1 -1 1⟩	Liebisma
8991/8990	0.19256	(35×37)/(2×5×29×31)	2.3.5.29.31.37 [-1 5 -1 -1 -1 1⟩	Solidaritisma, solidarity comma
9177/9176	0.18866	(3×7×19×23)/(23×31×37)	2.3.7.19.23.31.37 [-3 1 1 1 1 -1 -1⟩	Donsaarisma
9251/9250	0.18715	(11×292)/(2×53×37)	2.5.11.29.37 [-1 -3 1 2 -1⟩
9361/9360	0.18495	(11×23×37)/(24×32×5×13)	2.3.5.11.13.23.37 [-4 -2 -1 1 -1 1 1⟩	Friesachisma
10693/10692	0.16191	(172×37)/(22×35×11)	2.3.11.17.37 [-2 -5 -1 2 1⟩	Zangarisma
11914/11913	0.14532	(2×7×23×37)/(3×11×192)	2.3.7.11.19.23.37 [1 -1 1 -1 -2 1 1⟩	Sinachopoulosisma
12321/12320	0.14052	(32×372)/(25×5×7×11)	2.3.5.7.11.37 [-5 2 -1 -1 -1 2⟩	Zurakowskisma	S111
13690/13689	0.12646	(2×5×372)/(32×13)2	2.3.5.13.37 [1 -4 1 -2 2⟩
13950/13949	0.12411	(2×(3×5)2×31)/(13×29×37)	2.3.5.13.29.31.37 [1 2 2 -1 -1 1 -1⟩
14652/14651	0.11816	((2×3)2×11×37)/(72×13×23)	2.3.7.11.13.23.37 [2 2 -2 1 -1 -1 1⟩
15873/15872	0.10907	(3×11×13×37)/(29×31)	2.3.11.13.31.37 [-9 1 1 1 -1 1⟩
16170/16169	0.10707	(2×3×5×72×11)/(19×23×37)	2.3.5.7.11.19.23.37 [1 1 1 2 1 -1 -1 -1⟩
16576/16575	0.10445	(26×7×37)/(3×52×13×17)	2.3.5.7.13.17.37 [6 -1 -2 1 -1 -1 1⟩
17205/17204	0.10063	(3×5×31×37)/(22×11×17×23)	2.3.5.11.17.23.31.37 [-2 1 1 -1 -1 -1 1 1⟩
17576/17575	0.098503	(2×13)3/(52×19×37)	2.5.13.19.37 [3 -2 3 -1 -1⟩
18241/18240	0.094912	(17×29×37)/(26×3×5×19)	2.3.5.17.19.29.37 [-6 -1 -1 1 -1 1 1⟩	Genzelisma
19500/19499	0.088784	(22×3×53×13)/(17×31×37)	2.3.5.13.17.31.37 [2 1 3 1 -1 -1 -1⟩
19684/19683	0.087954	(22×7×19×37)/39	2.3.7.19.37 [2 -9 1 1 1⟩
20350/20349	0.085075	(2×52×11×37)/(32×7×17×19)	2.3.5.7.11.17.19.37 [1 -2 2 -1 1 -1 -1 1⟩
23200/23199	0.074624	(25×52×29)/(3×11×19×37)	2.3.5.11.19.29.37 [5 -1 2 -1 -1 1 -1⟩
26011/26010	0.066559	(19×372)/(2×32×5×172)	2.3.5.17.19.37 [-1 -2 -1 -2 1 2⟩
28750/28749	0.060218	(2×54×23)/(3×7×372)	2.3.5.7.23.37 [1 -1 4 -1 1 -2⟩
28861/28860	0.059986	(72×19×31)/(22×3×5×13×37)	2.3.5.7.13.19.31.37 [-2 -1 -1 2 -1 1 1 -1⟩
29601/29600	0.058487	(32×11×13×23)/(25×52×37)	2.3.5.11.13.23.37 [-5 2 -2 1 1 1 -1⟩
33264/33263	0.052046	(24×33×7×11)/(29×31×37)	2.3.7.11.29.31.37 [4 3 1 1 -1 -1 -1⟩	Maryrogersisma
34225/34224	0.050585	(5×37)2/(24×3×23×31)	2.3.5.23.31.37 [-4 -1 2 -1 -1 2⟩		S185
34596/34595	0.050042	(2×3×31)2/(5×11×17×37)	2.3.5.11.17.31.37 [2 2 -1 -1 -1 2 -1⟩		S186
35816/35815	0.048338	(23×112×37)/(5×13×19×29)	2.5.11.13.19.29.37 [3 -1 2 -1 -1 -1 1⟩
37962/37961	0.045605	(2×33×19×37)/(7×11×17×29)	2.3.7.11.17.19.29.37 [1 3 -1 -1 -1 1 -1 1⟩
38962/38961	0.044434	(2×7×112×23)/(34×13×37)	2.3.7.11.13.23.37 [1 -4 1 2 -1 1 -1⟩
41515/41514	0.041702	(5×192×23)/(2×3×11×17×37)	2.3.5.11.17.19.23.37 [-1 -1 1 -1 -1 2 1 -1⟩
42625/42624	0.040616	(53×11×31)/(27×32×37)	2.3.5.11.31.37 [-7 -2 3 1 1 -1⟩
43401/43400	0.039890	(3×17×23×37)/(23×52×7×31)	2.3.5.7.17.23.31.37 [-3 1 -2 -1 1 1 -1 1⟩
44955/44954	0.038511	(35×5×37)/(2×7×132×19)	2.3.5.7.13.19.37 [-1 5 1 -1 -2 -1 1⟩
45696/45695	0.037886	(27×3×7×17)/(5×13×19×37)	2.3.5.7.13.17.19.37 [7 1 -1 1 -1 1 -1 -1⟩
47916/47915	0.036131	((2×3)2×113)/(5×7×372)	2.3.5.7.11.37 [2 2 -1 -1 3 -2⟩
48841/48840	0.035447	(13×17)2/(23×3×5×11×37)	2.3.5.11.13.17.37 [-3 -1 -1 -1 2 2 -1⟩		S221
49248/49247	0.035154	(25×34×19)/(113×37)	2.3.11.19.37 [5 4 -3 1 -1⟩
50025/50024	0.034608	(3×52×23×29)/(23×132×37)	2.3.5.13.23.29.37 [-3 1 2 -2 1 1 -1⟩
55056/55055	0.031445	(24×3×31×37)/(5×7×112×13)	2.3.5.7.11.13.31.37 [4 1 -1 -1 -2 -1 1 1⟩
56203/56202	0.030804	(72×31×37)/(2×3×17×19×29)	2.3.7.17.19.29.31.37 [-1 -1 2 -1 -1 -1 1 1⟩
60606/60605	0.028566	(2×32×7×13×37)/(5×17×23×31)	2.3.5.7.13.17.23.31.37 [1 2 -1 1 1 -1 -1 -1 1⟩
67600/67599	0.025610	(22×5×13)2/(32×7×29×37)	2.3.5.7.13.29.37 [4 -2 2 -1 2 -1 -1⟩		S260
68783/68782	0.025170	(11×132×37)/(2×7×173)	2.7.11.13.17.37 [-1 -1 1 2 -3 1⟩
71485/71484	0.024218	(5×17×292)/(22×3×7×23×37)	2.3.5.7.17.23.29.37 [-2 -1 1 -1 1 -1 2 -1⟩
77441/77440	0.022356	(7×13×23×37)/(27×5×112)	2.5.7.11.13.23.37 [-7 -1 1 -2 1 1 1⟩	Jouvisma
78625/78624	0.022019	(53×17×37)/(25×33×7×13)	2.3.5.7.13.17.37 [-5 -3 3 -1 -1 1 1⟩
80920/80919	0.021395	(23×5×7×172)/(37×37)	2.3.5.7.17.37 [3 -7 1 1 2 -1⟩
82621/82620	0.020954	(7×11×29×37)/(22×35×5×17)	2.3.5.7.11.17.29.37 [-2 -5 -1 1 1 -1 1 1⟩
85064/85063	0.020352	((2×7)3×31)/(112×19×37)	2.7.11.19.31.37 [3 3 -2 -1 1 -1⟩
88320/88319	0.019602	(28×3×5×23)/(7×11×31×37)	2.3.5.7.11.23.31.37 [8 1 1 -1 -1 1 -1 -1⟩
93093/93092	0.018597	(3×7×11×13×31)/(22×17×372)	2.3.7.11.13.17.31.37 [-2 1 1 1 1 -1 1 -2⟩
93500/93499	0.018516	(22×53×11×17)/(7×192×37)	2.5.7.11.17.19.37 [2 3 -1 1 1 -2 -1⟩
208495/208494	0.0083035	(5×72×23×37)/(2×36×11×13)	2.3.5.7.11.13.23.37 [-1 -6 1 2 -1 -1 1 1⟩
466830/466829	0.0037085	(2×33×5×7×13×19)/(11×31×372)	2.3.5.7.11.13.19.31.37 [1 3 1 1 -1 1 1 -1 -2⟩
1055241/1055240	0.0016406	(33×112×17×19)/(23×5×23×31×37)	2.3.5.11.17.19.23.31.37 [-3 3 -1 2 1 1 -1 -1 -1⟩
50481025/50481024	3.4295×10-5	(5×72×29)2/(27×3×11×17×19×37)	2.3.5.7.11.17.19.29.37 [-7 -1 2 4 -1 -1 -1 2 -1⟩		S7105

41-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
41/40	42.749	41/(23×5)	2.5.41 [-3 -1 1⟩	Large quadracesimoprimal 1/5-tone
42/41	41.719	(2×3×7)/41	2.3.7.41 [1 1 1 -1⟩	Small quadracesimoprimal 1/5-tone
82/81	21.242	(2×41)/34	2.3.41 [1 -4 1⟩	41st-partial chroma
124/123	14.018	(22×31)/(3×41)	2.3.31.41 [2 -1 1 -1⟩
165/164	10.524	(3×5×11)/(22×41)	2.3.5.11.41 [-2 1 1 1 -1⟩
205/204	8.4657	(5×41)/(22×3×17)	2.3.5.17.41 [-2 -1 1 -1 1⟩
246/245	7.0519	(2×3×41)/(5×72)	2.3.5.7.41 [1 1 -1 -2 1⟩
247/246	7.0233	(13×19)/(2×3×41)	2.3.13.19.41 [-1 -1 1 1 -1⟩
287/286	6.0427	(7×41)/(2×11×13)	2.7.11.13.41 [-1 1 -1 -1 1⟩
288/287	6.0217	(25×32)/(7×41)	2.3.7.41 [5 2 -1 -1⟩
369/368	4.6981	(32×41)/(24×23)	2.3.23.41 [-4 2 -1 1⟩
370/369	4.6853	(2×5×37)/(32×41)	2.3.5.37.41 [1 -2 1 1 -1⟩
451/450	3.8429	(11×41)/(2×(3×5)2)	2.3.5.11.41 [-1 -2 -2 1 1⟩
493/492	3.5152	(17×29)/(22×3×41)	2.3.17.29.41 [-2 -1 1 1 -1⟩
533/532	3.2511	(13×41)/(22×7×19)	2.7.13.19.41 [-2 -1 1 -1 1⟩
575/574	3.0135	(52×23)/(2×7×41)	2.5.7.23.41 [-1 2 -1 1 -1⟩	Renatisma
616/615	2.8127	(23×7×11)/(3×5×41)	2.3.5.7.11.41 [3 -1 -1 1 1 -1⟩	Ellisma
697/696	2.4856	(17×41)/(23×3×29)	2.3.17.29.41 [-3 -1 1 -1 1⟩
780/779	2.2210	(22×3×5×13)/(19×41)	2.3.5.13.19.41 [2 1 1 1 -1 -1⟩	Wiesentisma
820/819	2.1125	(22×5×41)/(32×7×13)	2.3.5.7.13.41 [2 -2 1 -1 -1 1⟩
1025/1024	1.6898	(52×41)/210	2.5.41 [-10 2 1⟩	Kilobytisma
1026/1025	1.6882	(2×33×19)/(52×41)	2.3.5.19.41 [1 3 -2 1 -1⟩	Ingridisma
1190/1189	1.4554	(2×5×7×17)/(29×41)	2.5.7.17.29.41 [1 1 1 1 -1 -1⟩	Pelagisma
1518/1517	1.1408	(2×3×11×23)/(37×41)	2.3.11.23.37.41 [1 1 1 1 -1 -1⟩	Rovaniemisma
1600/1599	1.0824	(23×5)2/(3×13×41)	2.3.5.13.41 [6 -1 2 -1 -1⟩		S40
1681/1680	1.0302	412/(24×3×5×7)	2.3.5.7.41 [-4 -1 -1 -1 2⟩		S41
1682/1681	1.0296	(2×292)/412	2.29.41 [1 2 -2⟩	Shaftesburisma
2255/2254	0.76790	(5×11×41)/(2×72×23)	2.5.7.11.23.41 [-1 1 -2 1 -1 1⟩	Qinghaisma
2871/2870	0.60311	(32×11×29)/(2×5×7×41)	2.3.5.7.11.29.41 [-1 2 -1 -1 1 1 -1⟩	Schoberisma
3773/3772	0.45891	(73×11)/(22×23×41)	2.7.11.23.41 [-2 3 1 -1 -1⟩	Smithsonianisma
4060/4059	0.42646	(22×5×7×29)/(32×11×41)	2.3.5.7.11.29.41 [2 -2 1 1 -1 1 -1⟩	Deipylosisma
4675/4674	0.37036	(52×11×17)/(2×3×19×41)	2.3.5.11.17.19.41 [-1 -1 2 1 1 -1 -1⟩	Ohbokisma
4921/4920	0.35184	(7×19×37)/(23×3×5×41)	2.3.5.7.19.37.41 [-3 -1 -1 1 1 1 -1⟩	Volontisma
5577/5576	0.31045	(3×11×132)/(23×17×41)	2.3.11.13.17.41 [-3 1 1 2 -1 -1⟩	Priestlisma
6069/6068	0.28528	(3×7×172)/(22×37×41)	2.3.7.17.37.41 [-2 1 1 2 -1 -1⟩	Cevolanisma
6561/6560	0.2639	38/(25×5×41)	2.3.5.41 [-5 8 -1 -1⟩		S81
6930/6929	0.24984	(2×32×5×7×11)/(132×41)	2.3.5.7.11.13.41 [1 2 1 1 1 -2 -1⟩	Bedanisma
7176/7175	0.24127	(23×3×13×23)/(52×7×41)	2.3.5.7.13.23.41 [3 1 -2 -1 1 1 -1⟩	Kunijisma
8569/8568	0.20205	(11×19×41)/(23×32×7×17)	2.3.7.11.17.19.41 [-3 -2 -1 1 -1 1 1⟩	Mamelisma
9472/9471	0.18278	(28×37)/(3×7×11×41)	2.3.7.11.37.41 [8 -1 -1 -1 1 -1⟩	Brugesisma
10374/10373	0.16689	(2×3×7×13×19)/(11×23×41)	2.3.7.11.13.19.23.41 [1 1 1 -1 1 1 -1 -1⟩	Etampesisma
11440/11439	0.15134	(24×5×11×13)/(32×31×41)	2.3.5.11.13.31.41 [4 -2 1 1 1 -1 -1⟩	Massironisma
15376/15375	0.11260	(22×31)2/(3×53×41)	2.3.5.31.41 [4 -1 -3 2 -1⟩	Martakisma	S124
17836/17835	0.097067	(22×73×13)/(3×5×29×41)	2.3.5.7.13.29.41 [2 -1 -1 3 1 -1 -1⟩	Canupisma
76384/76383	0.022665	(25×7×11×31)/(34×23×41)	2.3.7.11.23.31.41 [5 -4 1 1 -1 1 -1⟩	Vernonisma
1048576/1048575	0.0016510	220/(3×52×11×31×41)	2.3.5.11.31.41 [20 -1 -2 -1 -1 -1⟩	Mebisma	S1024

43-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
43/42	40.737	43/(2×3×7)	2.3.7.43 [-1 -1 -1 1⟩	Large quadracesimotertial 1/5-tone
44/43	39.800	(22×11)/43	2.11.43 [2 1 -1⟩	Small quadracesimotertial 1/5-tone
86/85	20.249	(2×43)/(5×17)	2.5.17.43 [1 -1 -1 1⟩	Large quadracesimotertial 1/10-tone
87/86	20.014	(3×29)/(2×43)	2.3.29.43 [-1 1 1 -1⟩	Small quadracesimotertial 1/10-tone
129/128	13.473	(3×43)/27	2.3.43 [-7 1 1⟩	Magikarp comma, 43rd-partial chroma
130/129	13.369	(2×5×13)/(3×43)	2.3.5.13.43 [1 -1 1 1 -1⟩	Gyaradosma, Gyarados comma
172/171	10.095	(22×43)/(32×19)	2.3.19.43 [2 -2 -1 1⟩
216/215	8.0336	(2×3)3/(5×43)	2.3.5.43 [3 3 -1 -1⟩
259/258	6.6972	(7×37)/(2×3×43)	2.3.7.37.43 [-1 -1 1 1 -1⟩
301/300	5.7612	(7×43)/((2×5)2×3)	2.3.5.7.43 [-2 -1 -2 1 1⟩
344/343	5.0400	(23×43)/73	2.7.43 [3 -3 1⟩
345/344	5.0254	(3×5×23)/(23×43)	2.3.5.23.43 [-3 1 1 1 -1⟩
430/429	4.0308	(2×5×43)/(3×11×13)	2.3.5.11.13.43 [1 -1 1 -1 -1 1⟩
646/645	2.6820	(2×17×19)/(3×5×43)	2.3.5.17.19.43 [1 -1 -1 1 1 -1⟩	Kastalisma
990/989	1.7496	(2×32×5×11)/(23×43)	2.3.5.11.23.43 [1 2 1 1 -1 -1⟩	Yerkesisma
1333/1332	1.2992	(31×43)/(22×32×37)	2.3.31.37.43 [-2 -2 1 -1 1⟩	Cevenolisma
1377/1376	1.2577	(34×17)/(25×43)	2.3.17.43 [-5 4 1 -1⟩	Roberbauxisma
1463/1462	1.1838	(7×11×19)/(2×17×43)	2.7.11.17.19.43 [-1 1 1 -1 1 -1⟩	Nordenmarkisma
1764/1763	0.98170	(2×3×7)2/(41×43)	2.3.7.41.43 [2 2 2 -1 -1⟩		S42
1849/1848	0.93656	432/(23×3×7×11)	2.3.7.11.43 [-3 -1 -1 -1 2⟩		S43
1936/1935	0.98170	(22×11)2/(32×5×43)	2.3.5.11.43 [4 -2 -1 2 -1⟩		S44
2925/2924	0.59198	(32×52×13)/(22×17×43)	2.3.5.13.17.43 [-2 2 2 1 -1 -1⟩	Beattisma
3312/3311	0.52279	(24×32×23)/(7×11×43)	2.3.7.11.23.43 [4 2 -1 -1 1 -1⟩	Pedersenisma
4000/3999	0.43286	(25×53)/(3×31×43)	2.3.5.31.43 [5 -1 3 -1 -1⟩	Hipparchusisma
4301/4300	0.40257	(11×17×23)/(22×52×43)	2.5.11.17.23.43 [-2 -2 1 1 1 -1⟩	Boydenisma
4774/4773	0.36268	(2×7×11×31)/(3×37×43)	2.3.7.11.31.37.43 [1 -1 1 1 1 -1 -1⟩	Hobetsisma
5720/5719	0.30269	(23×5×11×13)/(7×19×43)	2.5.7.11.13.19.43 [3 1 -1 1 1 -1 -1⟩	Halweaverisma
7225/7224	0.23963	(5×17)2/(23×3×7×43)	2.3.5.7.17.43 [-3 -1 2 -1 2 -1⟩	Huntressisma	S85
7956/7955	0.21761	(22×32×13×17)/(5×37×43)	2.3.5.13.17.37.43 [2 2 -1 1 1 -1 -1⟩	Yajinisma
9504/9503	0.18217	(25×33×11)/(13×17×43)	2.3.11.13.17.43 [5 3 1 -1 -1 -1⟩	Lionelisma
9633/9632	0.17973	(3×132×19)/(25×7×43)	2.3.7.13.19.43 [-5 1 -1 2 1 -1⟩	Coturisma
10450/10449	0.16568	(2×52×11×19)/(35×43)	2.3.5.11.19.43 [1 -5 2 1 1 -1⟩	Girardisma
10880/10879	0.15912	(27×5×17)/(11×23×43)	2.5.11.17.23.43 [7 1 -1 1 -1 -1⟩	Kaguyisma
17545/17544	0.098677	(5×112×29)/(23×3×17×43)	2.3.5.11.17.29.43 [-3 -1 1 2 -1 1 -1⟩	Manheimisma
27048/27047	0.064007	(23×3×72×23)/(17×37×43)	2.3.7.17.23.37.43 [3 1 2 -1 1 -1 -1⟩	Jangongisma
29241/29240	0.059207	(32×19)2/(23×5×17×43)	2.3.5.17.19.43 [-3 4 -1 -1 2 -1⟩	Locquirecisma	S171

47-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
47/46	37.232	47/(2×23)	2.23.47 [-1 -1 1⟩
48/47	36.448	(24×3)/47	2.3.47 [4 1 -1⟩
94/93	18.516	(2×47)/(3×31)	2.3.31.47 [1 -1 -1 1⟩
95/94	18.320	(5×19)/(2×47)	2.5.19.47 [-1 1 1 -1⟩
141/140	12.322	(3×47)/(22×5×7)	2.3.5.7.47 [-2 1 -1 -1 1⟩
188/187	9.2333	(22×47)/(11×17)	2.11.37.47 [2 -1 -1 1⟩
189/188	9.1843	(33×7)/(22×47)	2.3.7.47 [-2 3 1 -1⟩
235/234	7.3827	(5×47)/(2×32×13)	2.3.5.13.47 [-1 -2 1 -1 1⟩
329/328	5.2701	(7×47)/(23×41)	2.7.41.47 [-3 1 -1 1⟩
330/329	5.2541	(2×3×5×11)/(7×47)	2.3.5.7.11.47 [1 1 1 -1 1 -1⟩
376/375	4.6105	(23×47)/(3×53)	2.3.5.47 [3 -1 -3 1⟩
377/376	4.5982	(13×29)/(23×47)	2.13.29.47 [-3 1 1 -1⟩
2116/2115	0.81836	(2×23)2/(32×5×47)	2.3.5.23.47 [2 -2 -1 2 -1⟩		S46
2209/2208	0.78390	472/(25×3×5)	2.3.23.47 [-5 -1 -1 2⟩		S47
2304/2303	0.75157	(24×3)2/(72×47)	2.3.7.47 [8 2 -2 -1⟩		S48

53-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
53/52	32.977	53/(22×13)	2.13.53 [-2 -1 1⟩
54/53	32.360	(2×33)/53	2.3.53 [1 3 -1⟩
106/105	16.410	(2×53)/(3×5×7)	2.3.5.7.53 [1 -1 -1 -1 1⟩
160/159	10.854	(25×5)/(3×53)	2.3.5.53 [5 -1 1 -1⟩
265/264	6.5453	(5×53)/(23×3×11)	2.3.5.11.53 [-3 -1 1 -1 1⟩
266/265	6.5207	(2×7×19)/(5×53)	2.5.7.19.53 [1 -1 1 1 -1⟩
319/318	5.4356	(11×29)/(2×3×53)	2.3.11.29.53 [-1 -1 1 1 -1⟩
371/370	4.6727	(7×53)/(2×5×37)	2.5.7.37.53 [-1 -1 1 -1 1⟩
372/371	4.6601	(22×3×31)/(7×53)	2.3.7.31.53 [2 1 -1 1 -1⟩
424/423	4.0879	(23×53)/(32×47)	2.3.47.53 [3 -2 -1 1⟩
425/424	4.0783	(52×17)/(23×53)	2.5.17.53 [-3 2 1 -1⟩
477/476	3.6332	(32×53)/(22×7×17)	2.3.7.17.53 [-2 2 -1 -1 1⟩
2809/2808	0.61643	532/(23×33×13)	2.3.13.53 [-3 -3 -1 2⟩		S53
4081/4080	0.42427	(7×11×53)/(24×3×5×17)	2.3.5.7.11.17.53 [-4 -1 -1 1 1 -1 1⟩

59-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
59/58	29.594	59/(2×29)	2.29.59 [-1 -1 1⟩
60/59	29.097	(22×3×5)/59	2.3.5.59 [2 1 1 -1⟩
118/117	14.734	(2×59)/(32×13)	2.3.13.59 [1 -2 -1 1⟩
119/118	14.610	(7×17)/(2×59)	2.7.17.59 [-1 1 1 -1⟩
177/176	9.8087	(3×59)/(24×11)	2.3.11.59 [-4 1 -1 1⟩
236/235	7.3513	(22×59)/(5×47)	2.5.47.59 [2 -1 -1 1⟩
295/294	5.8786	(5×59)/(2×3×72)	2.3.5.7.59 [-1 -1 1 -2 1⟩
296/295	5.8587	(23×37)/(5×59)	2.5.37.59 [3 -1 1 -1⟩
414/413	4.1868	(2×32×23)/(7×59)	2.3.7.23.59 [1 2 -1 1 -1⟩
473/472	3.6640	(11×43)/(23×59)	2.11.43.59 [-3 1 1 -1⟩
3481/3480	0.49741	592/(23×3×5×29)	2.3.5.29.59 [-3 -1 -1 -1 2⟩		S59

61-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
61/60	28.616	61/(22×3×5)	2.3.5.61 [-2 -1 -1 1⟩
62/61	28.151	(2×31)/61	2.31.61 [1 1 -1⟩
122/121	14.249	(2×61)/(112)	2.11.61 [1 -2 1⟩
123/122	14.133	(3×41)/(2×61)	2.3.41.61 [-1 1 1 -1⟩
183/182	9.4862	(3×61)/(2×7×13)	2.3.7.13.61 [-1 1 -1 -1 1⟩
184/183	9.4345	(23×23)/(3×61)	2.3.23.61 [3 -1 1 -1⟩
244/243	7.1098	(22×61)/35	2.3.61 [2 -5 1⟩
245/244	7.0807	(5×72)/(22×61)	2.5.7.61 [-2 1 2 -1⟩
305/304	5.6855	(5×61)/(24×19)	2.5.19.61 [-4 1 -1 1⟩
306/305	5.6669	(2×32×17)/(5×61)	2.3.5.17.61 [1 2 -1 1 -1⟩
672/671	2.5782	(25×3×7)/(11×61)	2.3.7.11.61 [5 1 1 -1 -1⟩
1404/1403	1.2335	(22×33×13)/(23×61)	2.3.13.23.61 [2 3 1 -1 -1⟩
3721/3720	0.46532	612/(23×3×5×31)	2.3.5.31.61 [-3 -1 -1 -1 2⟩		S61

67-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
67/66	26.034	67/(2×3×11)	2.3.11.67 [-1 -1 -1 1⟩
68/67	25.648	(22×17)/67	2.17.67 [2 1 -1⟩

71-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
71/70	24.557	71/(2×5×7)	2.5.7.71 [-1 -1 -1 1⟩
72/71	24.213	(23×32)/71	2.3.71 [3 2 -1⟩
5041/5040	0.34346	712/(24×32×5×7)	2.3.5.7.71 [-4 -2 -1 -1 2⟩	Third brown pair comma	S71
160561400000 / 160561399999	1.0783×10-8	(26×55×19×29×31×47) / (7×112×13×593×71)	2.5.7.11.13.19.29.31.47.59.71 [6 5 -1 -2 -1 1 1 1 1 -3 -1⟩	Borcherdsma

73-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
73/72	23.879	73/(23×32)	2.3.73 [-3 -2 1⟩
74/73	23.555	(2×37)/73	2.37.73 [1 1 -1⟩
366/365	4.737	(2×3×61)/(5×73)	2.3.5.61.73 [1 1 -1 1 -1⟩	Sidereal comma

79-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
79/78	22.054	79/(2×3×13)	2.3.13.79 [-1 -1 -1 1⟩
80/79	21.777	(24×5)/79	2.5.79 [4 1 -1⟩

83-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
83/82	20.985	83/(2×41)	2.41.83 [-1 -1 1⟩
84/83	20.734	(22×3×7)/83	2.3.7.83 [2 1 1 -1⟩

89-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
89/88	19.562	89/(23×11)	2.11.89 [-3 -1 1⟩	Sky comma
90/89	19.344	(2×32×5)/89	2.3.5.89 [1 2 1 -1⟩

97-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
97/96	17.940	97/(25×3)	2.3.97 [-5 -1 1⟩
98/97	17.756	(2×72)/97	2.7.97 [1 2 -1⟩

101-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
101/100	17.226	101/(2×5)2	2.5.101 [-2 -2 1⟩
102/101	17.057	(2×3×17)/101	2.3.17.101 [1 1 1 -1⟩
7777/7776	0.223	7×11×101/(2×3)5	2.3.7.11.101 [-5 -5 1 1 1⟩	Pulsar comma

103-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
103/102	16.890	103/(2×3×17)	2.3.17.103 [-1 -1 -1 1⟩
104/103	16.727	(23×13)/103	2.13.103 [3 1 -1⟩

107-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
107/106	16.256	107/(2×53)	2.53.107 [-1 -1 1⟩
108/107	16.105	(22×33)/107	2.3.107 [2 3 -1⟩
750/749	2.3099	(2×3×53)/(7×107)	2.3.5.7.107 [1 1 3 -1 -1⟩	Ancient Chinese tempering comma

109-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
109/108	15.956	109/(22×33)	2.3.109 [-2 -3 1⟩
110/109	15.810	(2×5×11)/109	2.5.11.109 [1 1 1 -1⟩

113-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
113/112	15.389	113/(24×7)	2.7.113 [-4 -1 1⟩
114/113	15.253	(2×3×19)/113	2.3.19.113 [1 1 1 -1⟩

127-limit (incomplete)

Ratio	Cents	Factorization	Monzo	Name(s)	Meta
127/126	13.686	127/(2×32×7)	2.3.7.127 [-1 -2 -1 1⟩
128/127	13.578	27/127	2.127 [7 -1⟩
500000/499999	0.0034625	(25×56)/(31×1272)	2.5.31.127 [5 6 -1 -2⟩

See also

• Gallery of just intervals

External links

• List of intervals on the Huygens-Fokker Foundation website